Question

Match the following with the values of 'x'.

• A. 125°
• B. 48°
• C. 145°

Answer 1

Consider the parallel lines AB and CD. Then BC is the traversal.
Then $\angle B+\angle C={180}^{\circ }$
$⟹\angle C={125}^{\circ }$

Similarly, considering the parallel lines AD and BC and traversal AB, we get,
$\angle A+\angle B={180}^{\circ }$
$⟹\angle A={145}^{\circ }$

We know that in a parallelogram, opposite angles are equal. Hence, $\angle D=\angle B$
$⟹\angle B={48}^{\circ }$