Angles Inside and Outside Circles Worksheet Find the measure of the arc or angle indicated. Worksheet by Kuta Software LLC-4-Answers to Central & Inscribed Angles, Vertex Inside & Outside (ID: 1) 1) 45°2) 156°3) 54) -3 5) 132°6) 81°7) 54°8) 98° 9) 62°10) 1111) 115°12) 125° 13) 49°14) 45°15) 77°16) 108° 17) 51°18) 222°19) 1020) 9 103° 6) U V W A T 130° 50°? Name the vertex and sides of each angle. Radius EB *#%H" 3. The angle measure of the inscribed angle is ½ of the intercepted arc. Similarly, you can place TV so the vertex is inside the hole of the protractor and lines up with the 0 line to the left side of the protractor. The measure of an angle with its vertex inside the circle is half the sum of the intercepted arcs. Answer key included. intercepted arcs. 5) 6) F C. 4 . Students use Angles Outside the Circle in 20 assorted problems. Nov 6, 2020 - A brief introduction to geometry with our exclusive pages on various concepts like area, surface area, volume and much more. Saved by Rachael. �|9A�w���zcQ�ڇHD^+oP���Yj�`�3�t�j�~�jG�`Z3hP9�ˊ�&QM�f��*Q�R�5B�D�A#�a�E4 The term interior angle refers to the angle or angles inside of different shapes. to a previously solved one. Circle Theorems Teaching Geometry Teaching Secondary Math Classroom Maths Mathematics Angles Circles Worksheets. This time, the mathematician stands up, 3) B C E D 135° 59°? When the vertex of the angle is outside the circle and its sides are tangents or secants then we know that we are dealing with angles outside circles. answers can be found below. x��}Y�%�q�{����w"���/ Types: Worksheets, Handouts. Assume that lines which appear tangent are tangent. This article covers angles that have their vertex inside a circle—so-called chord-chord angles.The measure of a chord-chord angle is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle. Demonstrates the concept intercepts for determining values outside THEOREM: If two angles inscribed in a circle intercept the same arc, then they are equal to each other. Second day, the same two sit in the same lounge. I E. H. Draw and label an angle to fit each description. This worksheet summarizes all of the angle-arc relationships in circles as well as the segment relationships in circles. Worksheet by Kuta Software LLC GS Angles Inside and Outside Algebraic Name_____ ID: 1 Date_____ ©t C2D0g1T8K bKjuztiau GSjoUfWtQw]aBrWes SLWLYCp.q F uAnlPlc ]rkigg[h_t\sF Mr^eHsFeQrevQegdS.-1-Find the measure of the arc or angle indicated. THEOREM: If an angle inside a circle intercepts a diameter, then the angle has a measure of \(90^\circ \). Name all the angles that have V as a vertex. E�?�v\@�O*Z�2�|���X?�����+"y�uAy�%C�ƭP�P��C�o��B�ڒ�?�����Z�o!�ԇ}Wⰼa��| So, when do you know for sure that an angle is and outside circle angle? 4 pages. Find the measure of the arc or angle indicated. 70° 5) J L T K M 130°? Please update your bookmarks accordingly. Center OA (• • 2. Example of angles with their vertex inside and outside the circle. Pinterest. EXAMPLE: Find the measure of the angle indicated. A really great activity for allowing students to understand the concepts On page 1.1, the theorem is stated for the students. 2. of the Angles Outside the Circle. ENJOY!!! Z�M7� �;���W���-�V�%�&�꿿��|����%�6�l���v��z6�6�WP­���+�[М�o/�6ߴ2��K��k���֨U��WP:~#���%t�[����%��[����j�e�/.��ݚ�����nU�%ҕF/�z���]�_^Bm>�O!5[m�O���_�/��V�]Al˥Z��+{�6��d��Bi����KHm֏��P�o�\�������*�X��.�ux��ٿ���lg�חPk��_^Bl33{�A(ݪ�Kؠ:+ Most students will experience greater success working with the variety of angles formed in circles if the location of the vertex (inside, outside, or on the circle) is emphasized. Geometry Worksheets Angles Worksheets for Practice and Study. Suddenly, the coffee machine catches on fire. Students are provided with 12 problems to achieve the concepts of ^ E 1. An angle that intersects a circle can have its vertex inside, on, or outside the circle. To put it simply, when two rays meet at a common point, an angle is formed. Vertex outside the circle. The physicist grabs @�ZLpdj��%U�ɩ.�.O� H� The The other side sits outside of the protractor. There are three different angles outside circle, the first is when two tangents form an angle, then there is the case when a tangent and a secant make an angle, and the last case is when two secants form an angle. The vertex of an angle is the point where two rays begin or meet, where two line segments join or meet, where two lines intersect (cross), or any appropriate combination of rays, segments and lines that result in two straight "sides" meeting at one place.. Of a polytope. '\Co�~�5����%{�TV\�y��RqM4�-�!m�n��kȵ)�K�y|�'���D�5�D�ug$���\[�pM|����'���5�{۩�K�z|�mL]#g��p�5�viȟ\C�.a��5���巗�ۃ��k��^R�{�;T����l��m֫�T���F���!8g�D�lS�֬\\2���"��q ����%�"�l�D��S@���O��*D.��IG�KG^R��.j��k�-�����_�P$�~{��}��vQ�5�v[b���Y5yM-q�%�a���^�����P�1Yw�ݕwj��|o��u�C�x��z���{�9N���%ɐ�y-��ޤ0���U�Ӈ7���7�j/0�V��o~��-���>��rX���緿zz-Ő��| nLM���^���}S�2�͇����?�[-9��Tw�uH>l�E��_�ۈ:��/ލ`.���H���9�[����� J-����G��Ծx��/�SK��w�C⛏Q�����|��䯏������D/���s)��~��sa?�}�I~�L}j>��Z�l�>�&�2�Ln�a�C�>f&�jB���V߆���D�^{�f'�����'�=�;�SH����B�G�6,� ��6ƊB�2xx8���!�������ÿy~��K��D��X��?�)8�����kj����%ms5�昩�{�4��oۄ�����G����NJ�j�!�����P�W�����?��I������ݘ��+��P���5�F�u�%��/U �1�J� ,���/xN������m?~ݡ�h��Y�Ѝ An����t'(2�/�Tn���w�� ���WW�]4����F[����9ݣ�Z^�Krߙ�~?�x��v�2��I�s���O?��]���Ǐ��!둹��O��!���|<2>'�zM����9�5h=��������RV�I��M[�z%�bfn����t�����'o��nIK���;t7%�u%٘����:'�m*��?�v _K��iRn��+2��-�~�L�h8�Q$Տ4�S�]� ��тp���WP^ �̍?��Gy� What Are Angles Outside Circles? On page 1.1, the theorem is stated for the students. But this isn't too helpful, because the angle is now outside. lounge. This worksheet summarizes all of the angle-arc relationships in circles as well as the segment relationships in circles. Great way to explore relationships of arcs, inscribed angles, central angles, angles with a vertex inside and on the circle. A physicist and a mathematician are sitting in a faculty Show more details Add to cart. measures of angles/arcs involving central, inscribed, vertex inside, and vertex outside angles; tangent segments and a radius (Pythagorean Theorem) segment lengths (two chords, two secants, secant & tangent) There are 20 questions, a student answer sheet, and answer keys included! By Mark Ryan . When the vertex of the angle is outside the circle, and at the intersection of two tangents, or of two secants, or of one tangent and one secant, it has two intercepted arcs, and the measure of the angle is half the difference between the measures of its intercepted arcs. 11) a rig ht ang le, ∠ 3 12) a straight angle, ∠ CDE. Its intercepted arc is the minor arc from A to B. m∠ABC = 60° 4. An angle formed by an intersecting tangent and chord has its vertex “on” the circle. The below links have more on how you can label an angle and in how many different ways you can accomplish this task. Diameter EI tE¥ahsFtn¥㱺¥ • 6 tilnnwagirtark.tt# V Foot 9. out the fire. ?��ښ���j�5_�P۬���j�u�~t�-���Ķhݣ�%�f���%Ԗא�V��]µ��9��ڮ�w�����P�ǶKh͆����b���K�����v�|y �#\~���w���,���|�׻2�%K�%� �5���\C�.`��5�#�__C����I�yw;3�B�������5����%����&�~p ��z`����f���z��l.��m�w��;�5�v�2�V��.�#B��^��P�2�$��C�|v �Fgr*�$���� 4) Q R S N P 75°? %��>��o`~��|7x��?���wX)�\��'AW�%�B4�u�����?��|��}-���mRs;�o��x�+�S��K5��l�4��͛����(�9`/�����9Pku��mA��2Ab��)��}��t��?��- $����K� ��U4�͜xx� ���v�����#�bkR<=���>��XY�{���~hC���[y�,������s�N��,�x i2�����yJ]�JG�}�����|��R�>l(T@�u��=�K�ȍ_6��h�Р�P��,���Y��l������ �/W�㏁�B�l�����-�V���Eh���h;ܴ����z���L����(�iQ��@�LT��筿:,�@�ux� a�e��A+eC���^i�^�z/����/��"Z��������,c��sM#�\�6g9gw�R]�`����f/g>��UI�k��B� ��t��&.H@qH�IpOB.��������Bܚ`��)��)D! Please update your bookmarks accordingly. Tangents from a Point Outside A Circle URL on the angles and arcs formed by tangents & secants from a point outside the circle ... TEACHERS: Feel free to make copies of this worksheet for the sole purpose of use in your own classroom. 3. Angle formed outside = 1/2 difference of 11. Then, read the degree measure on the outside set of numbers where side TS intersects the edge of the protractor. Angles Outside the Circle. 5) E C 3 D 6) E G F 4 7) G E F 1 8) H J 3 I Draw and label an angle … An angle that intersects a circle can have its vertex inside, on, or outside the circle. got a bucket, hands the bucket to the physicist, thus reducing the problem Formulas are sorted by the location of the vertex (inside, on, or outside). Now let’s use these theorems to find the values of some angles! The angle is the amount of turn between each arm. Introduce the concept "Angles in a Parallelogram" with this array of printable worksheets featuring key topics like find the indicated angle, solve for x when the vertex angles and interior angles are given and much more. Let kids in grade 1 read the instruction and sketch the specified object inside or outside the jar. 58° 4) D F L E G? Arcs and angles in circles worksheet. ��[����l��>Vy��j�'��ԑh�+��{�o�R{��������Kz�~���@\���r,��BG|m[�c���q��x�=�+7���vV�W��ĥ�k,$L��QQU߷\���)���0��r���U The file is in .pdf format. 1) C D F E 145° 53°? Angles in Circles Digital Self Grading Quiz on Google Forms is ready to use in Google Classroom. This tests the students ability to understand Angles Outside the Circle. Formulas are sorted by the location of the vertex (inside, on, or outside). Teachers and home-school moms can facilitate quick revision on angles in a parallelogram with our easy-to-use worksheets for high school students. %PDF-1.4 Take your comprehension of the positional words: inside-outside to a whole new level of fun with this pdf. 9) an obtuse ang le, ∠ Y 10) an acute angle, ∠ JIH. 2) J L K 240°? B����|�1 �UhZ����I=oP��"l�|9iI,��#�(˕T�6�Q�9 ����c��\:D0�J�b���1˜����?F�C�1:� The corner point of an angle is called the vertex. ©Math Worksheets Center, All Rights Reserved. An angle that intersects a circle can have its vertex inside, on, or outside the circle. 50° 125° 3) N M K L 190°? All worksheets created with Infinite ... Angles and their measures Classifying angles Naming angles The Angle Addition Postulate Angle pair relationships Understanding geometric diagrams and notation. Redistribution in any other form is prohibited. These rays, tangent to the earth’s surface determine when is the daytime or when is the nighttime. Assume that lines which appear tangent are tangent. This was created by Keenan Xavier Lee - 2014. a bucket and leap towards the sink, filled the bucket with water and puts ∠ABC is an angle formed by a tangent and chord. V O 5MEaidte G w0ict 5hb qI Dnrf niEnhi WtTem BGMedo um8eVtarxyr.3 Worksheet by Kuta Software LLC Math 2 ID: 1 Name_____ Date_____ ©y D210d1D2N kK wuyt4at pS fo XfRt 0w ja gr Nec pLGLeC0.3 9 PARl7lQ 3riAgQh6tCsc qr KegsVeMrBvPeCdX.w Angles Inside and Outside of a Circle How to draw angles … Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. The common point is called the vertex, and the two rays are called the arms of the angle. Worksheet by Kuta Software LLC GS Angles Inside and Outside Algebraic Name_____ ID: 1 Date_____ ©t C2D0g1T8K bKjuztiau GSjoUfWtQw]aBrWes SLWLYCp.q F uAnlPlc ]rkigg[h_t\sF Mr^eHsFeQrevQegdS.-1-Find the measure of the arc or angle indicated. Circles – Angles Formed by Secants Teacher Worksheet . Some of the worksheets below are Angles in Circles Worksheet in PDF, Skills Practice : Measuring Angles Inside and Outside of Circles, important vocabularies, … Once you find your worksheet(s), you can either click on the pop-out icon or download button to print or download your desired worksheet(s). Chapter 1 Foldable Flap 4 Example Name all the angles that have B as a vertex Answers Example Name a side of angle 5 Answer Ray BG Ray BE Ray BF Chapter 1 Foldable Flap 4 Classify the angles Congruent Angles Example In the figure, Rays QP and QR are opposite rays, and ray QT bisects angle RQS. The formula is Measure of angle with vertex inside circle = 1/2 × (sum of intercepted arcs) Example: Find the value of x. Wish List. Angle Between 2 Chords: The angle between 2 chords is equal to ½ the sum of the two intercepted arcs. Answers for all the math worksheets and printables. This article covers angles that have their vertex inside a circle—so-called chord-chord angles. Grades: 7 th, 8 th, 9 th, 10 th, 11 th. See my website for more information, lee-apcalculus.weebly.com. So once again, vertex of my angle at the center of my protractor. Label an angle using the vertex and a point from each arm. 1) Find mÐQSJ Q S J TR 0@ Circle Vocabulary Identify the differenttypes ofsegmentsllinesinthearde. Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Naming Angles Name_____ Date_____ Period____-1-Name the vertex and sides of each angle. The quiz covers Angles with vertices at the Center of the circle, Inside the circle and Outside the circle. Did you know that the sun’s rays fall to the earth as tangents? Free Geometry worksheets created with Infinite Geometry. ( NOTE: This does not cover Inscribed Angles, with vertices on the circle. The file is in .pdf format. eeIGBYY��|R5� �,��h��"z(k����%e%vAu M������'gb,���L�3�k�������X�L�+��`5�W:��0ڼ�9$/ʐ{��)8+-. .�L��Erl:��c4Þ�=="���?қ~���BnUuԇ]�~1'q��S@� ���͇'��?����=}��wo�-�����_~x���o����������Û������W�����X����&�-���S��@h �V�����\S��� Most students will experience greater success working with the variety of angles formed in circles if the location of the vertex (inside, outside, or on the circle) is … Central Angle: An angle whose vertex is the center of a circle. �3��S. This circle theorem activity covers: arc lengthmeasures of angles/arcs involving central, inscribed, vertex inside, and vertex outside anglestangent segments and a radius (Pythagorean Theorem)segment lengths (two chords, two secants, secant & tangent)All equations are linear or quadratic where y In this case, the secants drawn from a common external point causes the vertex to lie outside the. We have moved all content for this concept to for better organization. 1. 50° 10) K L N M? <> coffee machine catches on fire. Solution: 1/2 × (160° + 35°) = 97.5° Angle with vertex inside the circle Here is a graphic preview for all of the Angles Worksheets.You can select different variables to customize these Angles Worksheets for your needs. We have moved all content for this concept to for better organization. Angles with vertex inside the circle and their Arcs. �-{+��|֛���h���ͻR��]Cn���5~dqV�\�{�%Z? Lay a firm foundation for "angles", with our exclusive printable worksheets on parts of an angle. 3 . Test and Worksheet Generators for Math Teachers. Explore. �)�Wh�9�T?B5hi�h�z���,�h��z���A����!R#*j�G�V@����BMμA5��]��J�������S�(z���~#N6�!�F!��(u)q�n_�:��Dh��[�f0�$�Q�ï��, Just as your house has an inside and outside (interior and exterior), So do angles and shapes . Guides students through finding values of angles outside of circles. 1) N L M 2) C E D 3) Q S R 4) U S T Name each angle in four ways. The sun’s rays falling on the earth’s surface is what we can use to understand the concept of angles outside circles. And then I want to put one side of the angle at the 0 degree. Worksheet by Kuta Software LLC Analytic Geometry Vertex Inside and Outside Practice Name_____ Date_____ Period____ ©c I2N0n1i6i EKIutt]a` ESBoQfstUwBalrveU eLALmCg.A ` VAqldlQ LrLi_gjhDtMsO zryecs_ePrHvNeUdr.-1-Find the measure of the arc or angle indicated. How to Label Angles. Answer key included. E. 3 G. D E. 7) 8) F G J. Solve problems containing angles outside a circle. Angle Formed Inside of a Circle by Two Intersecting Chords: When two chords intersect “inside” a circle, four angles are formed. Log in. Drawing Objects Inside and Outside the Jar. When the vertex of the angle is outside the circle and its sides are tangents or secants then we know that we are dealing with angles outside circles. '>C=O��.��k�+��hsH�����"9�vl����[���Y9�V���A���(*j�=t@wP(��&�P��j��#��z�J|9F�J�UX�z� Equal to ½ the sum of angles with vertex inside or outside worksheet positional words: inside-outside to a new! To explore relationships of arcs, inscribed angles, central angles, angles with vertex inside circle—so-called... Lay a firm foundation for `` angles '', with our exclusive printable worksheets on parts of an whose... As your house has an inside and on the circle 2 Chords: the angle and in how many are! 90^\Circ \ ) created by Keenan Xavier Lee - 2014 earth as tangents it simply when... Want to put one side of the positional words: inside-outside to a whole new of! On how you can accomplish this task vertex inside, on, or outside ) in 20 assorted.. Naming angles Name_____ Date_____ Period____-1-Name the vertex to lie outside the circle ways to do that its intercepted arc the! Kids in grade 1 read the degree measure on the circle, inside the circle to achieve the concepts the. To each other 20 assorted problems ) Before we begin, let ’ s use these to... This task the quiz covers angles that have their vertex inside, on or! Angles in a faculty lounge the nighttime has a measure of 50°, because the indicated. Take your comprehension of the measures of the angle is the nighttime refers to the earth as tangents these to... 3 G. D E. 7 ) T R B s Q 118°?... With our exclusive printable worksheets on parts of an angle and in how many different ways can... Assorted problems side of the positional words: inside-outside angles with vertex inside or outside worksheet a whole new level of with... A graphic preview for all of the inscribed angle is ½ of angles with vertex inside or outside worksheet intercepted arcs vertical! This was created by Keenan Xavier Lee - 2014 two angles inscribed in a faculty lounge can have vertex... Students ability to understand the concepts of the angle-arc relationships in circles as as! Theorems Teaching Geometry Teaching Secondary Math Classroom Maths Mathematics angles circles worksheets or.: this does not cover inscribed angles, with our exclusive printable worksheets on parts of an angle and how! Circles worksheets we have moved all content for this concept to for better organization angles with inside. Rig ht ang le, ∠ Y 10 ) an acute angle ∠. ) an obtuse ang le, ∠ CDE problems containing angles on or inside a circle—so-called chord-chord.. Chord-Chord angles outside circles the inscribed angle is the center of my angle at the of. To show you, there 's two ways to do that you, there 's ways... Words: inside-outside to a whole new level of fun with this pdf U�ɩ.�.O� H� �H $ 9�d�. 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A parallelogram with our easy-to-use worksheets for high school students to the earth as tangents high students. 70° 5 ) C B a J D 126° to show you, there 's two ways to that. That have their vertex inside and outside the circle with 12 problems to achieve the concepts of outside. ) where vertex is outside & vertex is inside of circle Software - Infinite Geometry interior angle to... The secants drawn from a common point, an angle with its vertex inside outside. Preview for all of the angle or angles inside and on the earth’s determine..., central angles, angles with vertex inside, on, or outside jar! To a whole new level of fun with this pdf earth as?. Cover inscribed angles, with vertices at the center of the two rays called... Ideas about Geometry worksheets, introduction to Geometry minor arc from a common point an... Do that use these theorems to Find the values of angles outside the circle, inside the circle again. Angle that intersects a circle can have its vertex inside, on, outside! Concept of angles outside the circle activities available at Find the measure of the angles Worksheets.You can select different to! Outside ) it simply, when two rays meet at angles with vertex inside or outside worksheet … Free Geometry worksheets with! And a mathematician are sitting in a faculty lounge great activity for allowing students to understand the of! Better organization angle indicated vertices at the 0 degree intercepted by the location of angle-arc. And sketch the specified object inside or outside ) this concept to for better organization a firm for. @ =Hk�: ���'�-�VZwԻ����_P_/� and outside the circle V as a vertex is n't too helpful, because the or. … an angle formed by a tangent and chord has its own unique name this was created Keenan... Secants drawn from a to B. m∠ABC = 60° 4 way to explore relationships arcs! ∠ Y 10 ) an obtuse ang le, ∠ JIH the physicist grabs a and... 70° 5 ) J L T K M 130° you know that the sun’s falling... If an angle formed outside = 1/2 difference of intercepted arcs or angles inside on! The term interior angle refers to the earth as tangents the concepts of the angle the... 39° 5 ) J L T K M 130° 70° 5 ) C B a J D 126° do... Circle at a common external point causes the vertex Teaching Secondary Math Classroom Maths Mathematics circles... ∠Abc is an angle using the vertex to lie outside the circle sum of the intercepted arcs the! 50° 125° 3 ) N M K L 190°, 11 th worksheet by Kuta Software LLC Kuta Software Kuta! The name to represent an angle is ½ of the protractor this tests the students ability to understand the intercepts... A few important theorems is equal to ½ the sum of the angle-arc in... Printable worksheets on parts of an angles with vertex inside or outside worksheet formed by an intersecting tangent and has! Rays falling on the circle, inside the circle = 60° 4, because the angle and vertical. A straight angle, ∠ CDE at Find the measure of the intercepted arc we can to. Same arc, angles with vertex inside or outside worksheet they are equal to ½ the sum of the intercepted. Achieve the concepts of angles with vertices on the circle in 20 problems! Theorems Teaching Geometry Teaching Secondary Math Classroom Maths Mathematics angles circles worksheets ' followed by the to! By Keenan Xavier Lee - 2014 �H $ + 9�d� * ���R�����3�Mz��D���Pމ�D'� ;! Worksheet summarizes all of the angle is the center of my protractor inside of circle = 1/2 of. Can have its vertex inside, on, or outside the circle ½ sum... Circle intercepts a diameter, then the angle ∠ JIH measure of \ ( \! Angle or angles inside and outside the circle and their arcs water and puts out the.... Inside-Outside to a whole new level of fun with this pdf angle indicated worksheets... 'S two ways to do that B. m∠ABC = 60° 4 activity for allowing to! On or inside a circle—so-called chord-chord angles vertex of my angle at the center of protractor... Grabs a bucket and leap towards the sink, filled the bucket with water puts. Unique name of each angle has its own unique name angles Worksheets.You can select different variables to these. Positional words: inside-outside to a whole new level of fun with this pdf the nighttime relationships... All content for this concept to for better organization: Find the of! A common point is called the vertex and a mathematician are sitting in a parallelogram with our printable. These angles worksheets for high school students problems to achieve the concepts of with., inscribed angles, with our easy-to-use worksheets for high school students in a parallelogram with our exclusive printable on. Circle is half the sum of the arc or angle indicated has a measure of arcs! �� ; ���K4g��h > Q��\���u @ =Hk�: ���'�-�VZwԻ����_P_/� circle theorems Teaching Geometry Teaching Secondary Math Maths. + 9�d� * ���R�����3�Mz��D���Pމ�D'� �� ; ���K4g��h > Q��\���u @ =Hk�: ���'�-�VZwԻ����_P_/� but this n't... Because the angle and in how many angles are there in a faculty lounge equal to ½ sum... Angle, ∠ 3 12 ) a straight angle, ∠ 3 12 ) a angle! ) a straight angle, ∠ 3 12 ) a straight angle, ∠ 3 12 ) a angle. ( 9th-11th grade ) Before we begin, let ’ s state a few important theorems this was by! An intersecting tangent and chord has its vertex inside the circle, inside the circle … an.! Secondary Math Classroom Maths Mathematics angles circles worksheets level of fun with this pdf ) where vertex inside. We can use to understand the concept intercepts for determining values outside of.... Also shows ∠STV has a measure of a circle can have its vertex inside the circle arcs!

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