Question

in a cyclic quadrilateral ABCD 12 the measure of angle A is thrice the measure of angle C find the measure of angle C

Answer 1

90°.
is the answer because all the measure of cyclic quadrilateral is 360° so the angle c well be 90°

Answer 2

Answer:

the measure of angle C = 72°

Step-by-step explanation:

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

1.5 angle C + 1 angle C = 180

[since angle A = angle C therefor, we are adding 1.5 + 1 = 2.5]

 Angle C  =  180/2.5

                =  72°