Question

Find the values of x and y and then show that AB II CD. In Fig. 6.28.

Answer 1

Here is your answer! ! ! !

angle x + 50 = 180 ( angle on straight line )
angle x = 180 - 50
x = 130

y = 130 ( Vertically Opposite Angle )


I hope its helpfull for you.

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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.