English

In the given figure below, decide whether l is parallel to m.

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Question

In the given figure below, decide whether l is parallel to m.

Sum
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Solution

x + 75° = 180° (Linear pair on line l)

x = 180° − 75° = 105°

For l and m to be parallel to each other, the corresponding angles (∠ABC and ∠x) should be equal. However, here their measures are 75° and 105°, respectively. Hence, the lines l and m are not parallel to each other.

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Chapter 5: Lines and Angles - EXERCISE 5.2 [Page 87]

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NCERT Mathematics [English] Class 7
Chapter 5 Lines and Angles
EXERCISE 5.2 | Q 6. (ii) | Page 87
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