If a ray OC stands on AB such that angle AOC = angle COB , then show that angle Aoc=90*

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If ray OC stands on line AB such that Angle AOC = Angle BOC then show that
Angle BOC= 90˚

In figure,ray OC stands on the line AB; ray OL and ray OM are angle bisector of $∠ A O C$ and $∠ B O C$ , respectively.Prove that $∠ L O M$ = 90 $^{\circ}$ [3 MARKS]

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A ray OC is constructed on the line segment AB such that $∠ B O C$ is $x^{\circ}$ .

What will $∠ A O C$ be?

Q. In figure, ray OC stands on the line AB; ray OL and ray OM are angle bisector of

∠ A O C

and

∠ B O C

, respectively. Find

∠ L O M

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