Which pair of lines in the below fig. is parallel? Give reasons.

Question:

Which pair of lines in the below fig. is parallel? Give reasons.

Solution:

∠A + ∠B = 115 + 65 = 180°

Therefore, AB ∥ BC [As sum of co interior angles are supplementary]

∠B + ∠C = 65 + 115 = 180°

Therefore, AB ∥ CD (As sum of interior angles are supplementary]

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