Q15 of 45 Page 164

Let be three rays such that lies between and . Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.

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∠AOC and ∠COB are perpendicular to each other.


∴ ∠AOC = 90° and ∠BOC = 90°


∴ ∠AOB = ∠AOC + ∠BOC = 90° + 90° = 180°


∴ O ,A and B are Collinear.


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