Question

18) In a cyclic quadrilateral ABCD, if ZA = 3ZC, then ZA=

Answer 1

Answer:

Correct option is A)

Given 

In a  cyclic quadrilateral ABCD,∠A=3∠C⟹∠C=3∠A

As we know that

In a cyclic quadrilateral,sum of opposite angles is 180∘

⟹∠A+∠C=180∘

⟹∠A+3∠A=180∘

⟹34∠A=180∘

⟹∠A=135∘

Hence the answer is 135∘