Question

Construct a quadrilateral PQRS in which PQ = 3 cm, QR = 4 cm, ∠P = 75°, ∠Q = 90°
and ∠R = 120°.

Answer 1

Answer:

Steps of Construction:

(i) Construct a line segment QR = 6 cm.

(ii) At the point Q, construct a ray QX making an angle of 90⋅ and cut off QP = 4 cm.

(iii) At the point P, construct a ray making an angle of 60⋅ and at R, a ray making an angle 120⋅ which meets each other at the point S.

Therefore, PQRS is the required quadrilateral.