Question

In a cyclic ▢ABCD, twice the measure of ∠A is thrice the measure of ∠C .

Find the measure of ∠C?

a) 36° b) 72° c) 90° d) 108°​

Answer 1

Answer:

Correct option is

B = 72

In a cyclic quadrilateral, opposite angles are supplementary.

⇒∠A+∠C=180

Gien that

⇒2∠A=3∠C

⇒∠A=1.5∠C

⇒1.5∠C+∠C=180

⇒2.5∠C=180

⇒∠C = 72