Question

find the measure of each angle I'm really confused about this

Answer 1

SOLUTION

To solve this question, we first need to know some things:

1. The two angles are equal where the unequal sides meet.

(Angle E and Angle are equal)

2. Sum of angles in a quadrilateral are 360 degrees

$\angle F+\angle E+\angle H+\angle G=360^O$$\angle E=\angle G=x^o$$\angle M=90^O$$\angle F=150^O$$\begin{gathered} \angle F+\angle E+\angle H+\angle G=360^O \\ 150^o+x^o+90^o+x^o=360^o \\ \end{gathered}$$\begin{gathered} 240^o+2x^o=360^o \\ 2x^o=360^o-240^o \\ 2x^o=120^o \\ x^o=\frac{120}{2} \\ x^o=60^o \end{gathered}$$x^o=\angle G=60^O$