Lin is looking at cyclic quadrilateral ABCD. She says, I’m not convinced that opposite angles of cyclic quadrilaterals always add up to 180 degrees. For example, in this diagram, suppose we moved point to a different spot on the circle. Angle BCD would still measure 100 degrees, but now angle BAD would have a different measure, and they wouldn’t add up to 180. Do you agree with Lin? Explain or show your reasoning.
Lin is looking at cyclic quadrilateral ABCD. She says, I’m not convinced that opposite angles of cyclic quadrilaterals always add up to 180 degrees. For example, in this diagram, suppose we moved point to a different spot on the circle. Angle BCD would still measure 100 degrees, but now angle BAD would have a different measure, and they wouldn’t add up to 180. Do you agree with Lin? Explain or show your reasoning.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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Lin is looking at cyclic quadrilateral ABCD. She says, I’m not convinced that opposite
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