Question

Determine the measure of adjacent angle P while constructing a rhombus with PQ = 5 cm, RQ = 3 cm, and $\angle PQR={130}^o$.

• A. $\angle P={40}^o$
• B. $\angle P={70}^o$
• C. $\angle P={50}^o$
• D. $\angle P={100}^o$

Answer 1

The correct option is C $\angle P={50}^o$

While constructing a parallelogram, the measures of the adjacent angles always add up to ${180}^o$.

So,
$\angle P+\angle Q={180}^o$
$\angle P+{130}^o={180}^o$
$\angle P={180}^o-{130}^o$
$\angle P={50}^o$

Hence, $\angle P$ is ${50}^o$.