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

Diagram
Sum
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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]
