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 = 180o (Linear pair) (ii)
Using (ii) in (i), we get
∠AOC + 180o = 270o
∠AOC = 90o