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If Two Straight Lines Are Perpendicular to the Same Line, Prove that They Are Parallel to Each Other. - Mathematics

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If two straight lines are perpendicular to the same line, prove that they are parallel to each
other.

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Solution

Given m perpendicular 𝑡 and l ⊥ t

`∠`1 = `∠`2 = 90°

∴ l and m are two lines and it is transversal and the corresponding angles are equal

∴ l || m

Hence proved

Concept: Parallel Lines and a Transversal
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 6 | Page 47

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