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in Lines and Angles by (38.0k points)
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If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is

A. 54°

B. 120°

C. 108°

D. 136°

1 Answer

+1 vote
by (36.4k points)
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Best answer

Let,

l and m be two parallel lines and transversal p cuts them

∠1: ∠2 = 2: 3 (Interior angles on same side)

Let,

∠1 = 2k

∠2 = 3k

∠1 + ∠2 = 180°(Interior angle)

2k + 3k = 180°

k = 36°

So,

∠1 = 2k = 72°

∠2 = 3k = 108°

Hence, larger angle is 108°

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