Question

In a cyclic □ABCD, twice the measure of ∠ is thrice the measure of∠. Find the measure

of∠?​

Answer 1

Question:--

In a cyclic □ABCD, twice the measure of ∠ is thrice the measure of∠. Find the measure of∠?

Answer:

In a cyclic quadrilateral, opposite angles are supplementary.

⇒∠A+∠C=180° [theorem of cyclic quadrilateral]

Given that,

⇒2∠A=3∠C = 2 × 180° [Multiplying both sides by 2]

⇒∠A=1.5∠C

⇒1.5∠C+∠C=180°

⇒2.5∠C=180°

⇒∠C=72°