CAN ANYONE HELP?WHAT IS EG?

Question

PLEASE HELP ME TO FIND EG

Answer 1

You will need to make some additional assumptions here:

MN is parallel to EG and angle EDF = angle GDF.

Then y=14 by the Side Splitter Theorem.

The angle bisector divides the opposite side into segments proportional to the adjacent sides.

x/24 = (x+6)/36 => x=12 and EG = 12 + 18 = 30