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

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Solution

Steps of construction:
Step 1: Take PQ = 4.2 cm
Step 2: $Make ∠ X P Q = 120^{\circ}, ∠ Y Q P = 60^{\circ}$
Step 3: Cut an arc of length 5 cm from point Q. Name that point as R.
Step 4: From P, make an arc of length 6 cm. Name that point as S.
Step 5: Join P and S.
Thus, PQRS is a quadrilateral.

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