Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then what is the smaller angle?

1 point

a) 36°

b) 72°

c) 47°

d) 108°


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Answer 1

OPTION (b) is the correct solution..

Let the angles be 2x and 3xNow sum of interior angles on same side of transversal intersecting two parallel lines is 180∘

⇒2x+3x=180∘

⇒5x=180∘

⇒x=36∘

So the angles are2x= 2×36∘ =72∘

2×36∘ =72∘

2×36∘ =72∘ 3x= 3×36∘ =108∘

So the smaller angle is 72∘

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