Question

Two lines AB and CD intersect at O. If ∠AOC +∠COB +∠BOD = 270°, then ∠AOC =

A. 70°

B. 80°

C. 90°

D. 180°

Answer 1

Given that,

AB and CD intersect at O

∠AOC +∠COB +∠BOD = 270° (i)

∠COB + ∠BOD = 180°(Linear pair) (ii)

Using (ii) in (i), we get

∠AOC + 180° = 270°

∠AOC = 90°