For what value of x will the lines l and m be parallel to each other?

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Solution

For two lines to be parallel, consecutive interior angles have to be equal.

$\Rightarrow 3 x + 5 + 4 x = 180 \Rightarrow 7 x = 175 \Rightarrow x = 25$

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The value of x, for which the lines m and n will be parallel, is

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