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.

Question

TextTheorem on Lines Parallel to Same LineNCERT Exemplar

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In Fig. 6.19, if PQ || RS, ∠ MXQ = 135° and ∠ MYR = 40°, find ∠ XMY.

In Fig. 6.22, AB || CD and CD || EF. Also EA ⊥ AB. If ∠ BEF = 55°, find the values of x, y and z.

In Fig. 6.23, if AB || CD, CD || EF and y : z = 3 : 7, find x.

In Fig. 6.25, if PQ || ST, ∠ PQR = 110° and ∠ RST = 130°, find ∠ QRS.

In Fig.6.8, x = y and a = b. Prove that l || n.

Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.