If ray OC stands on line AB such that ∠AOC = ∠COB, then show that – InterviewSolution

1.

If ray OC stands on line AB such that ∠AOC = ∠COB, then show that ∠AOC = 90°.

Answer»

Since ray OC stands on line AB.

Therefore

∠AOC + ∠COB = 180° (Linear pair of angles)

But ∠AOC = ∠COB (given)

⇒ 2∠AOC = 180°

⇒ ∠AOC = 90°

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