Question

In a cyclic ABCD, twice the measure of LA is thrice the measure of 4
C
find measure of ZC
A) 36°
B) 72°
C) 90°
D) 108°
AD​

Answer 1

Answer:

In a cyclic quadrilateral, opposite angles are supplementary.

⇒∠A+∠C=180

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Gien that

⇒2∠A=3∠C

⇒∠A=1.5∠C

⇒1.5∠C+∠C=180

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⇒2.5∠C=180

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⇒∠C=72

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Answer 2

Answer:

correct answer is 72 degree

Step-by-step explanation:

A + C = 180

given that

2A = 3C

A = 1.5C

1.5 C + C = 180

2.5C = 180 hence

C = 72