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

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Solution

We have, x = 71^°and y = 108^°
Now, x + y = 71^∘ + 108^∘ = 179^∘
So, x + y ≠ 180^∘
But x and y are the interior angles formed by a transversal l of two lines m and n.
It is known that, if the sum of the interior angles formed by a transversal of two distinct lines is 180^∘, then the two lines are parallel.
∴ line m is not parallel to line n.

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