Angles in a triangle add up to 180.
Angles on a straight line also add up to 180.
Using this knowledge, you can find angle OLW which lies on a straight line:
180 – (2x–48)
(Where 2x – 48 is the other angle which lies on the straight line)
180 – 2x + 48
228 – 2x
So angle OLW is 228 – 2x.
Now that you know all the angles in the triangle, add the sum of all the angles and make it equal to 180 to find the value of x (you make it equal to 180 because all angles in a triangle add up to 180).
180 = 228 – 2x + x + 32
180 = 260 – x
180 + x = 260
x = 260 – 180
x = 80
So the value of x is 80.
Substitute x = 80 into the expressions for the angles to find the sizes of the angles.
Angle FOW = x
Angle FOW = 80
Angle FLW = 2x – 48
Angle FLW = 2(80) – 48
Angle FLW = 160 – 48
Angle FLW = 112
Angle OLW = 180 – 80 – 32
Angle OLW = 68