Answer:
80°
Step-by-step explanation:
Apply vertically opposite angles,
∠BEC = ∠GEA = 8x°
∠GEC = ∠BEA = (4x+60°)
To find x, apply angles at a point,
8x + 8x + (4x+60°) + (4x+60°) = 360°
16x + 2(4x+60°) = 360°
16x + 8x + 120° = 360°
24x = 240
x = 10
To find ∠BEC (8x°),
8 × 10 = 80°
