Plzz answer this question properly step by step

Mathematics

1 answer:

monitta3 years ago

7 0

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°

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