Two lines l and m are perpendicular

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.

Solution:

No, since, lines l and m are perpendicular to the line n.

∠1 = ∠2 = 90° [∴ l ⊥ n and min]

It implies that these are corresponding angles.

Hence, l|| m.

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