Question

In fig. 6.28, find the value of x and y then show that AB//CD.

Answer 1

Solutions:

Since X and 50° form a linear pair.

Hence, X + 50 = 180°

=> X = 180° - 50°

=> X = 130°

Since vertically opposite angles are equal.

Hence, Y = 130°

Clearly, X = Y = 130°

This means that alternate interior angles are equal.

Hence, AB || CD.