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In the given figure, examine whether the following pairs of lines are parallel or not: AB and CD - Mathematics

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Question

In the given figure, examine whether the following pairs of lines are parallel or not:

AB and CD

Sum

Solution

We have,

EF is a straight line

∴ ∠RSC + ∠CSF = 180° ......[Linear pair]

⇒ ∠RSC = 180° – 65° = 115°

As angles ∠QRS and ∠CSR are alternate interior angles and are equal

∴ AB || CD.

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Chapter 5: Lines and Angles - Exercise [Page 149]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 5 Lines and Angles
Exercise | Q 110. (ii) | Page 149
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