In the figure, ABCD is a cyclic quadrilateral. AB // DC in circle with centre O. BC and AD produced meet at M. D3 = x. Show that MC = MD. %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Do 2.1

2.
In the figure, ABCD is a cyclic quadrilateral.
AB // DC in circle with centre O. BC and AD
= x.
2.
If opposite angles of quadrilateral
ABCD are supplementary, then
quadrilateral is cyclic
produced meet at M. D3
A.
B.
2.1 Show that MC = MD.
ナ = 180
(5)
%3D
%3D
OR
If D3 = x, determine the value of :
M, in terms of x.
2.2
D=180
2.2.1
(2)
Page 2
Transcribed Image Text:2. In the figure, ABCD is a cyclic quadrilateral. AB // DC in circle with centre O. BC and AD = x. 2. If opposite angles of quadrilateral ABCD are supplementary, then quadrilateral is cyclic produced meet at M. D3 A. B. 2.1 Show that MC = MD. ナ = 180 (5) %3D %3D OR If D3 = x, determine the value of : M, in terms of x. 2.2 D=180 2.2.1 (2) Page 2
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