Construct a quadrilateral PQRS in which PQ = 4.2 cm, ∠PQR = 60°, ∠QPS = 120, QR = 5cm and PS = 6cm

Question

Construct a quadrilateral PQRS in which PQ = 4.2 cm, ∠ PQR = 60°, ∠ QPS = 120 , QR = 5cm and PS = 6cm

Philoid · Accepted Answer

The given quadrilateral PQRS can be drawn as follows:

Step 1: Draw a line segment PQ = 4.2 cm.

Step 2: At Q, draw ∠PQX = 60°.

Step 3: Cut QR = 5 cm on ray QX

Step 4: At P, draw ∠QPY = 120°.

Step 5: Cut PS = 6 cm on ray PY

Step 6: Now, join RS

Step 7: PQRS is the required quadrilateral.