Question

Two lines AB and CD intersect at O if angle AOC + angle COB+ angle BOD = 270 then angle AOC=____
A)70°
B)80°
C)90°
D)180°
please give the correct answer..​

Answer 1

Answer: c) 90

Step-by-step explanation: Let ∠AOC=x and ∠COB=y. Then, ∠BOD=x and ∠DOA=y.

Now, ∠AOC+∠COB+∠BOD=270

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⇒x+y+x=270

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⇒2x+y=270

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But, x+y=180

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  ∴x=y=90

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 Hopes it helps