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Which Pair of the Dotted Line, Segments, in the Following Figure, Are Parallel. Give Reason: - Mathematics

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Question

Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:

Sum

Solution

In figure,
∠1 = 45° ........(vertically opposite angles)
Lines are parallel if
∠1 + 135° = 180° .........(co-interior angles)
⇒ 45°+ 135° = 180°
⇒ 180° = 180° which is true.
Hence, the lines are parallel.

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Properties of Parallel Lines
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Chapter 14: Lines and Angles (Including Construction of angles) - Exercise 14 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 14 Lines and Angles (Including Construction of angles)
Exercise 14 (B) | Q 5.2
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