In a quadrilateral PQRS, the diagonals PR and QS bisect each other.


In a quadrilateral PQRS, the diagonals PR and QS bisect each other. If ∠Q = 56°, determine ∠R.


Since, the diagonals PR and QS of quadrilateral PQRS bisect each other.        (Given)

So, PQRS is a parallelogram.

Now, $\angle Q+\angle R=180^{\circ}$ (Adjacent angles are supplementary.)

$\Rightarrow 56^{\circ}+\angle R=180^{\circ}$

$\Rightarrow \angle R=180^{\circ}-56^{\circ}$

$\Rightarrow \angle R=124^{\circ}$


Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now