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In Fig, line l ∥ m, ∠1 = 120° and ∠2 = 100°, find out ∠3 and ∠4. |
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Answer» Given that, ∠1 = 120° and ∠2 = 100° From the figure ∠1 and ∠5 is a linear pair ∠1 + ∠5 = 180° ∠5 = 180° – 120° ∠5 = 60° Therefore, ∠5 = 60° ∠2 and ∠6 are corresponding angles ∠2 = ∠6 = 100° Therefore, ∠6 = 100° ∠6 and ∠3 a linear pair ∠6 + ∠3 = 180° ∠3 = 180° – 100° ∠3 = 80° Therefore, ∠3 = 80° By, angles of sum property ∠3 + ∠5 + ∠4 = 180° ∠4 = 180° – 80° – 60° ∠4 = 40° Therefore, ∠4 = 40° |
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