We can see that [tex]GFH[/tex] forms a triangle. All angles of a triangle have a sum of 180°. Simply subtract the known angles from 180.
[tex]180 - (53 + 45)[/tex]
= [tex]180 - 98[/tex]
= 82°
∠FGH is 82 degrees, and has an exterior angle measure of x degrees. We can see that it is a straight line, which means that the sum of x and 82 is 180. This means that they are supplementary.
[tex]x + 82 = 180[/tex]
Isolate x:
[tex]x + 82 - 82 = 180 - 82[/tex]
--> [tex]x = 98[/tex]
So x is 98 degrees.
