Q111 of 113 Page 128

In Fig. 5.64, find out which pair of lines are parallel:

∠ VUF + ∠ TUV = 180⁰

∠ TUV = 180⁰-123⁰ = 57⁰

∠ TUV = ∠UVH

So they form alternate interior pairs

Hence EF||GH

∠UVH≠∠ VQP

Hence PK is not parallel to EF and GH

∠ VUF≠∠RSV

Hence AB is not parallel to CD as they don’t form corresponding pairs.

EF||GH

109

In Fig. 5.62, state which pair of lines are parallel. Give reason.

110

In Fig. 5.63, examine whether the following pairs of lines are parallel or not:

(i) EF and GH (ii) AB and CD

112

In Fig. 5.65, show that

(i) AB || CD

(ii) EF || GH

113

In Fig. 5.66, two parallel lines l and m are cut by two transversals p and q. Determine the values of x and y.