Question

E is equidistant from the sides of HGF. Find m FGH. The diagram is not to scale. (1 point) 52 26 22 6

Answer 1

The answer is the option

`m<FGH=52\°`

Explanation:

we know that

The figure shown is a Kite

In a Kite the main diagonal bisects a pair of opposite angles (angle G and angle E)

so

`4x+2=6x-10`

Solve for x

`6x-4x=2+10\\2x=12\\x=6\°`

Find the measure of angle FGH

`m<FGH=(4x+2)+(6x-10)`

substitute the value of x

`m<FGH=(10x-8)=10*6-8=52\°`