Question

In a cyclic quadrilateral ABCD, twice
the measure of angleA is thrice the measux
of angleC . Find the measure of angleC.​

Answer 1

Answer:

In a cyclic quadrilateral, opposite angles are supplementary.

⇒∠A+∠C=180⁰

Gien that

⇒2∠A=3∠C

⇒∠A=1.5∠C

⇒1.5∠C+∠C=180⁰

⇒2.5∠C=180⁰

⇒∠C=72⁰