Math, asked by khushboo18, 1 year ago

If Ray OC stands on line AB such that AOC = BOC,then show that BOC=90 DEGREE

Answers

Answered by justask
84
aoc + boc = 180 ( linear pair)
2boc=180 [aoc =boc]
boc =90
Answered by amitnrw
17

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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