Question

In a cyclic quadrilateral ABCD.if m<A - 3(m<C). Find m<A
​

Answer 1

Step-by-step explanation:

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

∘

⟹

3

4∠A

=180

∘

⟹∠A=135

∘