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

Given that,

AB and CD intersect at O

∠AOC +∠COB +∠BOD = 270° (i)

∠COB + ∠BOD = 180^o (Linear pair) (ii)

Using (ii) in (i), we get

∠AOC + 180^o = 270^o

∠AOC = 90^o