Question

If $l_1$ and $l_2$ are two parallel lines, find the value of $x$.

• A. 31

Answer 1

The correct option is A 31
Given: $l_1$ and $l_2$ are two parallel lines.
So, the angles $2x$ and $(3x+20{)}^{\circ }$ are co-interior angles.

Co-interior angles are supplementary.
$\therefore 2x+(3x+25{)}^{\circ }=180°$

$\Rightarrow 2x+3x={180}^{\circ }-{25}^{\circ }$

$\Rightarrow 5x={155}^{\circ }$

$\Rightarrow x=31$