Question

What is the value of X?

Answer 1

We can see that $GFH$ forms a triangle. All angles of a triangle have a sum of 180°. Simply subtract the known angles from 180.

$180 - (53 + 45)$

= $180 - 98$

= 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.

$x + 82 = 180$

Isolate x:

$x + 82 - 82 = 180 - 82$

--> $x = 98$

So x is 98 degrees.

Answer 2

The answer to the question is 98.