Q112 of 113 Page 128

In Fig. 5.65, show that


(i) AB || CD


(ii) EF || GH


Capture.JPG


Let P,Q,R,S be the four intersecting point


∠ FQS and ∠ SQP forms a linear pair


∠ SQP = 1800-500 = 1300


∠ APQ = 1300


∠ APQ = ∠ SQP = 1300


∠ APQ & ∠ SPQ are alternate interior angles


Hence AB || CD


∠ APQ and ∠ QPR forms a linear pair


∠ QPR = 1800-1300 = 500


∠ QPR = ∠ GRP = 500


So ∠ QPR and ∠ GRP are alternate interior angles


Hence EF || GH


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