Question

In a parallelogram PQRS, find $\angle RSQ$ if $\angle SPQ={70}^o$ & $\angle RQS={60}^o$.

• A. ${50}^o$
• B. ${60}^o$
• C. ${70}^o$
• D. None

Answer 1

The correct option is A ${50}^o$

Opposite angles of a parallelogram are equal
$\therefore \angle SPQ=\angle SRQ={70}^o$
In $△SQR,\angle RSQ+\angle SQR+\angle SRQ={180}^o$
$\angle RSQ=180-60-70$
$RSQ={50}^o$