Question

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

∠A.​

Answer 1

Answer:

let the angle be x

so 2x+3x=180

5x=180

x=36

2x=2×36=72°

3x=3×36=108°

measure of angle A=72°

measure of angle B=108°

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Answer 2

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 °

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