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Which Pair of Lines in the Below Fig, is Parallel? Given Reasons. - Mathematics

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Question

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

Solution

`∠`A + `∠`B =115 + 65 =180°

∴AB || BC          [As sum of co-interior angles we supplementary]

`∠`B + `∠`C = 65 +115 = 180°

∴AB || CD         [As sum of interior angles are supplementary]

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Chapter 10: Lines and Angles - Exercise 10.4 [Page 48]

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RD Sharma Mathematics [English] Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 16 | Page 48

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