Question

Find $\angle ABD$ in the parallelogram ABCD.

• A. ${25}^{\circ }$
• B. ${30}^{\circ }$
• C. ${75}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

The correct option is B

${30}^{\circ }$

The diagonal BD acts as a transversal for the parallel sides AB and CD.

In this case, the alternate angles are equal

$\angle ABD$ = $\angle BDC$ = ${30}^{\circ }$