Question

in a cyclic abcd twice the measure of angle.a is thrice the measure of angle c find measure of angle a

Answer 1

2a = 3c

(a + c = 180)2
2a + 2c = 360
3c +2c = 360
5c = 360
c = 72
2a = 3c
2a = 3(72)
a = 3 x 36
= 108


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Answer 2

2x +3x = 180.
in cyclic quadrilateral sum of opposite angles is 180 degree
x=36
A= 2x = 2(36)=72degree