Question

In figure 2.18, y=108° and x=71° Are the lines m and n parallel ? Justify ?

Answer 1

No.

If co interior angles are supplementary, lines are parallel. However here, 108+71≠180

Thus lines are not parallel

Answer 2

Solution :

Given x = 71° , y = 108°

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Sum of the interior angles

same side of the transversal

= 180° , then the lines are parallel.

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x + y

= 71° + 108°

= 179°

Therefore ,

m is not parallel to n .

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