Question

In a cyclic ABCD s twice the measure of ZA es thrice
the measure of Lc. find measure of LA.
a) 36
b) 72° c) 90° d) 108°.​

Answer 1

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

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Correct option is

B

72

In a cyclic quadrilateral, opposite angles are supplementary.

⇒∠A+∠C=180

0

Gien that

⇒2∠A=3∠C

⇒∠A=1.5∠C

⇒1.5∠C+∠C=180

0

⇒2.5∠C=180

0

⇒∠C=72

0