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Question

In the given figure, if $x = 125^{\circ}$ and $y = 54^{\circ}$ then are lines m and n parallel? Justify.

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Solution

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$I f l i n e s a r e p a r a l l e l t h e n x + y = 180^{\circ} b u t i n o u r c a s e x + y = 125^{\circ} + 54^{\circ} = 179^{\circ} H e n c e l i n e s a r e n o t p a r a l l e l t o e a c h o t h e r .$

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