Q16 of 115 Page 8

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

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