Question

Assume line "m" and line "n" are parallel lines that are cut by the transversal line "l." Find the value of "x."

• A. $x={25}^{\circ }$
• B. $x={45}^{\circ }$
• C. $x={15}^{\circ }$
• D. $x={35}^{\circ }$

Answer 1

The correct option is A $x={25}^{\circ }$

$\text{We know, the sum of co-interior angles}$
$\text{(interior angles on the same side)}={180}^{\circ }$

So, we can write:

$⟹x+{15}^{\circ }+6x-{10}^{\circ }={180}^{\circ }$

$⟹7x+5^{\circ }={180}^{\circ }$

$⟹7x={175}^{\circ }$

$⟹x={25}^{\circ }$