Question

In a cyclic quadrilateral ABCD, twice the measure of angle a is thrice the measure of angle c. Find the measure of angle c.​

Answer 1

In a cyclic quadrilateral, the opposite angles are supplementary.

Thus Angle A + angle C = 180

Now, 2*angle A = 3*angle C

Angle A = 1.5 * angle C

Putting this value in earlier equation

1.5 angle C + 1 angle C = 180

Angle C =180/2.5

= 72°

Answer 2

Answer:

108

Step-by-step explanation:

In a cyclic quadrilateral ABCD,

BY USING THE CYCLIC QUADRILATERAL THEOREM 2X+3X=180

5X=180

X=180/5

X=36

A=2X=2*36=72

C=3X=3*36=108