Answer:
see explanation
Explanation:
in a trapezoid
each lower base angle is supplementary to the upper base angle on the same side, that is
∠ G + ∠ H = 180°
4x + 2 + 7x - 9 = 180
11x - 7 = 180 ( add 7 to both sides )
11x = 187 ( divide both sides by 11 )
x = 17
Then
∠ G = 4x + 2 = 4(17) + 2 = 68 + 2 = 70°
∠ H = 7x - 9 = 7(17) - 9 = 119 - 9 = 110°