Question

In a quadrilateral PQRS, PQ = 3 cm, QR = 4 cm and PS = 5 cm. Also, $\angle SPQ$ = ${70}^{\circ }$ and $\angle PQR$ = ${90}^{\circ }$. Which of the following options is the approximate value of $\angle QRS$?

• A. ${100}^{\circ }$
• B. ${90}^{\circ }$
• C. ${110}^{\circ }$
• D. ${118}^{\circ }$

Answer 1

The correct option is D ${118}^{\circ }$

Step 1: Draw PQ = 3 cm.

Step 2: At Q, draw an angle of ${90}^{\circ }$ and mark 4 cm along this angle as point R.

Step 3: At P, draw an angle of ${70}^{\circ }$ and mark 5 cm along this line as point S.

Step 4: Join points P and S. Join points R and S. Quadrilateral PQRS is complete.

Step 5: Measure $\angle QRS$. It is approximately equal to ${118}^{\circ }$.