Answer:
x = 36°
Explanation:
Sum of interior angles of a triangle is 180.
∠LEG = 2x
∠HFG = 4x
∠LEG and ∠FEG are supplementary
∠EFG and ∠HFG are supplementary
Therefore:
x + (180 - 2x) + (180 - 4x) = 180 Solve for x
-5x + 360 = 180
-5x = -180
x = -180/-5 = 36
2x = 72
4x = 144
Or, you can also solve it by knowing the sum of the exterior angles of a triangle is 360.