Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 12E
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Can you please answer both? This is my last question. Thank you so much. 

Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.
* Let PA be a line tangent to a circle at the point A and let DC be a secant line which intersects this tangent at P.
Prove that (AP)? = CP · DP and < APC = ÷(AD – AC).
2
Transcribed Image Text:Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary. * Let PA be a line tangent to a circle at the point A and let DC be a secant line which intersects this tangent at P. Prove that (AP)? = CP · DP and < APC = ÷(AD – AC). 2
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