*17. In the figure, BD is a diameter of the circle. PQ is the tangent to the circle at A. If 2QAB = ZPAC and ZCAD = ZQAD, (a) calculate (i) ZQAD, (ii) ZBAX; (b) prove that AC 1 BD.

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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*17. In the figure, BD is a diameter of the circle. PQ is the
at A. If 4QAB = ZPAC and
tangent to the circle
ZCAD = ZQAD,
(a) calculate
(i) ZQAD,
(ii) ZBAX;
(b) prove that AC 1 BD.
Transcribed Image Text:*17. In the figure, BD is a diameter of the circle. PQ is the at A. If 4QAB = ZPAC and tangent to the circle ZCAD = ZQAD, (a) calculate (i) ZQAD, (ii) ZBAX; (b) prove that AC 1 BD.
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