We know that the sum of the interior angles of a triangle must equal to 180°.
So to find the missing angle on the inside of triangle FGH, we must subtract 53° and 45° from 180°:
[tex]180-53-45=82[/tex]
So we know that the missing interior angle is 82°. We also know that a straight line has an angle of 180°.
x° + the interior angle that we just found must then equal to 180°, since ray HG is a straight line.
So we need to subtract 82° from 180° to find x°:
[tex]180-82=98[/tex]
So now we know that x° is equal to 98°.
