Question

In a quadrilateral PQRS, the diagonals PR and QS bisect each other. If $\angle Q={56}^{\circ }$, determine $\angle R$.

Answer 1

ANSWER:
Since, the diagonals PR and QS of quadrilateral PQRS bisect each other.
(Given)
So, PQRS is a parallelogram.
Now, ∠Q+∠R=180°(Adjacent angles are supplementary.)
⇒56°+∠R=180°⇒∠R=180°-56°⇒∠R=124°