Question

If ray OC stands on line AB such that ∠AOC = ∠BOC, then find ∠BOC.​

Answer 1

Given : ray OC stands on line AB such that ∠AOC = ∠BOC

To Find :  ∠BOC.​

Solution:

ray OC stands on line AB such that ∠AOC = ∠BOC

∠AOC + ∠BOC = 180°   ( Linear pair as AB is straight line )

∠AOC = ∠BOC

=> ∠BOC  + ∠BOC = 180°

=> 2∠BOC = 180°

=> ∠BOC = 90°

∠BOC = 90°

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