Question

In the figure, AB || DC, then the measure of $\angle D$ is equal to

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Since, AB || DC and AD is transversal
$\Rightarrow \angle A+\angle D={180}^{\circ }$ [Co-interior angles are supplemetary]
$\Rightarrow \angle D={180}^{\circ }-{75}^{\circ }$
$\Rightarrow \angle D={105}^{\circ }$
Hence, the measure of $\angle Dis{105}^{\circ }$