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Two lines l and m are perpendicular to the same line n. Are l and m perpendicular to each other? Give reason for your answer. - Mathematics

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Question

Two lines l and m are perpendicular to the same line n. Are l and m perpendicular to each other? Give reason for your answer.

Give Reasons
Sum

Solution

No.


Given that the lines l and m are perpendicular to the line n.

∴ ∠1 = ∠2 = 90°

This shows that the corresponding angles are equal.

Thus, l || m.

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Chapter 6: Lines & Angles - Exercise 6.2 [Page 57]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 6 Lines & Angles
Exercise 6.2 | Q 10. | Page 57

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