Question

in a cyclic [] abcd , twice the measure of angle A is eqal to thrice the measure of angle C find the measure of angle C A) 36° B) 72° C) 90° D)108°​

Answer 1

Answer:

B) 72°

Step-by-step explanation:

we know that opposite angles of a cyclic quadrilateral are 180°

let angle A be x and angle C be y

So,Angle A + Angle C = 180°

x + y = 180°

Also given :-

2x = 3y

2x - 3y = 0

From 1st equations

3x + 3y = 540

2x - 3y = 0

on adding both equations

5x = 540

x = 108°

Hence y = 72°