Question

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

Answer 1

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=(120)/(2) \\ x^o=60^o \end{gathered}`
`x^o=\angle G=60^O`