Answer:
x=8
m<FGH=32
m<HGI=32
m<FGI=64
Step-by-step explanation:
The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:
5x-8=6x-16
Then you will find x which is 8. After you find x just plug in x for one of the equations like so:
5(8)-8=_ or 6(8)-16=_
You only need to plug in x for one of the angles because they are congruent so you will get the same answer.
To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.
