Question

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Answer 1

x = 30°

y = 115°

Explanation:

Given = AB ║ DC

∠A = 2x + 10

∠B = 65

∠C = y

∠D = 3x + 20

( AD is the transversal on the parallel lines AB and DC)

∴ ∠A + ∠D = 180 and ∠B + ∠C = 180

(1) ∠A + ∠D = 180

2x + 10 + 3x + 20 = 180

5x + 30 = 180

5x = 180 - 30 = 150

x = 150÷5

x = 30°

(2) ∠B + ∠C = 180

65 + y = 180

y = 180 - 65 = 115

y = 115°