Question

Angle EMG is equal to 120 degrees. The measure of angle EMF is 60 degrees.

What is the measure of angle FMG?

Trapezoid EFGH is given. M is the midpoint of side GH. Points E and F are joined to M to form 3 equal triangles EHM, EMF and MFG.

Answer 1

The measure of angle FMG is 0 degrees.

Step-by-step explanation:

To find the measure of angle FMG, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since triangle EMG has angle EMG equal to 120 degrees and angle EMF equal to 60 degrees, we can subtract these angles from 180 to find the measure of angle FMG.

180 - 120 - 60 = FMG = 0 degrees

Therefore, the measure of angle FMG is 0 degrees.