Question

For which value of x is line l parallel to line m?A. 28B. 62C. 22D. 68​

Answer 1

For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

$\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}$

And we are done !!

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