Construct a quadrilateral PQRS in which PQ = 4 cm, QR = 5 cm ∠ P = 50°, ∠ Q = 110° and ∠ R = 70°.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw PQ = 4 cm.

Step II: Construct ∠XPQ = 50° and ∠PQY = 110°.

Step III: With Q as the center and radius 5 cm, cut off QR = 5 cm.

Step IV: At R, draw ∠QRZ = 70° such that it meets PX at S.