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Two parallel lines l and m be cut by a transversal lines s and t, forming angles. From the figure, we have, ∠1 = ∠3 = 50° … [∵Corresponding angles] And, ∠1 + x = 180° … [∵linear pair] = x° =180° – 50 = x° = 130° Now, ∠2 = ∠4 = 65° … [∵Corresponding angles] And, ∠2 + y = 180° … [∵linear pair] = 65 + y = 180° = y = 180 – 65 = y = 115° ∴The value of x =130° and y = 115°
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