Construct a quadrilateral PQRS in which PQ = 5 cm, QR = 4 cm, RS = 4.5 cm,
∠Q = 90° and ∠R = 135°.
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Steps of Construction:
(i) Construct a line segment QR = 5 cm.
(ii) At the point Q, construct a ray QX making an angle of 60
⋅
and cut off QP = 4 cm.
(iii) At the point R, construct a ray RY making an angle of 90
⋅
and cut off RS = 4.5 cm.
(iv) Now join PS.
Therefore, PQRS is the required quadrilateral.
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