9514 1404 393
Answer:
x = 12
Explanation:
Triangle DGH is isosceles with base angles at D and G. The external angle 134° at H is the sum of those two base angles, so we have ...
2(5x+7) = 134
5x +7 = 67 . . . . . divide by 2
5x = 60 . . . . . . . subtract 7
x = 12 . . . . . . . . divide by 5