Question

If AB = 5 cm and $\angle A={80}^{\circ }$, then what is the value of $\angle D$?

• A. $\angle D={80}^{\circ }$
• B. $\angle D={180}^{\circ }$
• C. $\angle D={100}^{\circ }$
• D. $\angle D={70}^{\circ }$

Answer 1

The correct option is C $\angle D={100}^{\circ }$

Property of parallelogram states that the consecutive angles of a parallelogram are supplementary.

$\therefore \angle A+\angle D={180}^{\circ }$
${80}^{\circ }+\angle D={180}^{\circ }$
$\angle D={100}^{\circ }$