The vertices of quadrilateral PQRS lie on circle K. Let X be the point on K such that QX bisects angle PQR. Let Y be the point on K such that XY is a diameter. Prove that SY bisects angle PSR.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter2: Parallel Lines
Section2.4: The Angles Of A Triangle
Problem 30E: Given: Equiangular RST Prove: RV bisects SRT RVS is a right
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The vertices of quadrilateral PQRS lie on circle K. Let X be the point on K such that QX bisects angle PQR. Let Y be the point on K such that XY is a diameter. Prove that SY bisects angle PSR.

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