1.

In the figures given below AB // CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons.

Answer» 3x = y (∵ alternate interior angles)

2x + y = 180° (∵ linear pair of angles)

∴ 2x + 3x = 180° 5x= 180°

5x= 180°

x = 180/5 = 36° and y = 3x = 3 x 36 = 108°


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