Question

Find the value of x, if it is given that lines AB and CD are parallel to each other.

• A. 40${}^{\circ }$
• B. 140${}^{\circ }$
• C. 160${}^{\circ }$
• D. 80${}^{\circ }$

Answer 1

The correct option is B

140${}^{\circ }$

$\angle$KMA= ${40}^{\circ }$ (given)

As $\angle$KMB and $\angle$KMA form a linear pair, they are supplementary angles.
So, we have, $\angle$KMB = ${140}^{\circ }$

$\angle$KMB = $\angle$MND (corresponding angles)

$\angle$MND = ${140}^{\circ }$