Question

ABCD is a cyclic quadrilateral.if angle A=65°,find angle C.

Answer 1

Hi there !!

Given : ABCD is a cyclic quadrilateral

We are given :
∠A = 65°

We know that in a cyclic quadrilateral ,

opposite angles are supplementary.

This means that ,

∠A + ∠ C = 180°

65°+ ∠ C = 180°

∠ C = 180° - 65°


∠ C =  115°

Answer 2

in a cyclic quadrilateral , opposite angles are supplementary.
angle A = 65°
angle C is supplementary to angle A

i.e , A +C = 180°

65 + C = 180°

angle C = 180 - 65

angle C = 115°

hope it helps!!!