Answer:
54°
Step-by-step explanation:
∠A = 2x + 10, ∠C = 3x - 14
∠E + 266 = 360 (sum of angles around a point)
∠E = 360 - 266
∠E = 94°
AB is parallel to line BD. Lets draw a line cuts line AB and line BD to form ∠B and ∠D. Hence:
∠B + ∠D = 180° (sum of interior angles on the same side)
∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angles in a pentagon)
2x + 10 + 3x - 14 + 94 + 180 = 540
5x + 270 = 540
5x = 540 - 270
5x = 270
x = 54°
