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CBSE Class 9 Answered

In fig., ray OC stands on the line AB, ray OL and ray OM are angle bisector of AOC and BOC respectively. Prove that LOM = 90o.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Let AOL = LOC = x

( OL is the bisector)

Let COM = MOB = y

( OM is the bisector)

Now, AOL + LOC + COM + MOB = 180o (Linear pair)

x + x + y + y = 180 x + y = 90o

LOC + COM = 90o LOM = 90o

Answered by | 04 Jun, 2014, 03:23: PM

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