Question

Find the measure of the indicated angle.

Answer 1

Angle FDG is 42°

Explanation:

the whole angle GDE is an obtuse angle (greater than 90° but less than 180°), but a line is drawn at the middle to split it into 2.Each will be an acute angle.This means our answer must be acute.Mathematically ,

x+86=128

X=128-86

X=42°

to be sure,when an obtuse angle is split into two angles,it becomes 2 acute angles.