Question

In the given figure, find the value of x for which the lines l and m are parallel.

• A. ${145}^{\circ }$
• B. ${44}^{\circ }$
• C. ${90}^{\circ }$
• D. ${136}^{\circ }$

Answer 1

The correct option is D ${136}^{\circ }$

For the lines l and m to be parallel, the sum of the interior angles on the same side of the transversal must be supplementary.
$\therefore x+{44}^{\circ }={180}^{\circ }$
$\Rightarrow x={180}^{\circ }-{44}^{\circ }$
$\Rightarrow x={136}^{\circ }$