If a transversal intersects parallel lines, then the sum of interior angles which lie on the same side of the transversal is

120°

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90°

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180°

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60°

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Solution

The correct option is C 180°
Consider two parallel lines AB and CD such that transversal PQ intersects AB and CD at points M and N respectively.

∴ ∠AMN = ∠MND (Alternate interior angles) …..(i)
Also, ∠CNM + ∠MND = 180° (Linear pair)
⇒ ∠CNM + ∠AMN = 180° [From (i)]
Thus, the sum of interior angles which lie on the same side of the transversal is 180°.
Hence, the correct answer is option (c).

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