Question

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

Answer 1

Explanation:

given- OC stands on a line AB

- angle AOC =angle COB

To prove:- angle AOC =90

Proof:- angle AOC=angle COB

(given)

sum of angle AOCand angle COB =180°(linear pair)

2angle AOC =180°

Angle AOC= 180°/2

=90°

Hence proved angle AOC =90°

Answer 2

Answer:

Explanation:

given- OC stands on a line AB

- angle AOC =angle COB

To prove:- angle AOC =90

Proof:- angle AOC=angle COB

(given)

sum of angle AOCand angle COB =180°(linear pair)

2angle AOC =180°

Angle AOC= 180°/2

=90°

Hence proved angle AOC =90°

Step-by-step explanation:

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