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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

∠1 = 110° ......(vertically opposite angles)
If lines are parallel then
∠1 + 70° = 180° ........(co-interior angles)
⇒110° + 70°= 180°
⇒180° =180°
Which is correct.
∴ 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 5.4
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