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Maharashtra State BoardSSC (English Medium) 9th Standard

In the given figure, y = 108° and x = 71° Are the lines m and n parallel? Justify. - Geometry

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Question

In the given figure, y = 108° and x = 71° Are the lines m and n parallel? Justify.

Sum

Solution

We have, x = 71°and y = 108° 

x + y = 71 + 108 

∴ x + y = 179

So, x + y ≠ 180

∴ The angles x and y are not supplementary.

∴ The angles do not satisfy the interior angles test for parallel lines.

∴ Line m and line n are not parallel lines.

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Test for Parallel Lines
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Chapter 2: Parallel Lines - Practice Set 2.2 [Page 21]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 2 Parallel Lines
Practice Set 2.2 | Q 1. | Page 21
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