Question

What is the value of x?

Answer 1

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°:

$180-53-45=82$

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°:

$180-82=98$

So now we know that x° is equal to 98°.