Question

plzz solve this question

Answer 1

Here is your answer.....
to prove-LM||RN

We have given that angle ALR=DRL
and AB || CD .
LM bisect angle ALR and RN bisect the angle DRL.

hence angle ALM =MLR.........(1)
and angle LRN =DRN...........(2)

now we know that angleALR=2MLR ........(3)
and angle DRL=2LRN ...........(4)
from these equations we have
angle MRL=LRN
hence alternative angles are equal
so that LM||RN
HENCE PROVED