Question

in fig.6.28 find the values of x and y and then show that ab parallel cd

Answer 1

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Answer 2

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.