Question

kindly help me out with this question. ​

Answer 1

Answer:

Let angle MNO = x degrees, then

angle MBR = x/2 degrees

as GH and NO are parallel

angle MNO = angle MGH

then angle MGH = x degrees

then NGH = 180 - x degrees

IN A triangle NGR:

sum of all angles in a triangle = 180 degrees

as NR is angular bisector

angle GNR = x/2 degrees

then angle GRN = x/2 degrees

as angle GNR = angle GRN

GR = GN - ( equation 1)

similarily

RH = HO - ( equation 2)

add equation 1 and equation 2

then GH = GN + HO

Hence proved