Answer:
∠BXD = ∠GXE (opposed by the summits)
4x-50=2x+10
4x-2x=10+50
2x=60
x= 30°
∠BXD=∠GXE = 70°
∠BXE = flat angle = 180°
∠BXG = ∠BXD-∠DXE=X
∠EXD = 180°-70°= 110°
∠BXG=∠DXE =110° (opposed by the summits)
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