Answer:
[tex]\angle FMG=60^{\circ}[/tex]
Step-by-step explanation:
Given: [tex]\angle EMG=120^{\circ}\,,\,\angle EMF=60^{\circ}[/tex]
To find: [tex]\angle FMG[/tex]
Solution:
A trapezoid is a quadrilateral in which one pair of opposite sides is parallel. A trapezoid in which opposite angles are supplementary is known as an isosceles trapezoid. In any isosceles trapezoid, two opposite sides are parallel, and the two other sides are equal to each other.
Consider the figure:
[tex]\angle FMG=\angle EMG-\angle EMF\\=120^{\circ}-60^{\circ}\\=60^{\circ}[/tex]
