Question

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

Answer 1

\[\text { Steps of construction: }\]

\[\text { Step I: Draw PQ = 4 cm }. \]

\[\text { Step II: Construct } \angle XPQ = 50^\circ \text { at P and } \angle PQY = 110^\circ \text { at Q }. \]

\[\text { Step III : With Q as the centre and radius 5 cm, cut off QR = 5 cm } . \]

\[\text { Step IV: At R, draw } \angle QRZ = 70^\circ \text {  such that it meets PX at S } . \]

The quadrilateral so obtained is the required quadrilateral .