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Question
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
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Solution
\[\text { Steps of construction: }\]
\[\text { Step I: Draw PQ = 4 cm }. \]
\[\text { Step II: Construct } \angle XPQ = 50^\circ \text { at P and } \angle PQY = 110^\circ \text { at Q }. \]
\[\text { Step III : With Q as the centre and radius 5 cm, cut off QR = 5 cm } . \]
\[\text { Step IV: At R, draw } \angle QRZ = 70^\circ \text { such that it meets PX at S } . \]
The quadrilateral so obtained is the required quadrilateral .
RELATED QUESTIONS
Construct the following quadrilaterals.
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MO = 6 cm
OR = 4.5 cm
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LA = 6.5 cm
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∠A = 110°
∠N = 85°
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Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
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Construct the following quadrilaterals with the given measurements and also find their area.
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A quadrilateral can be constructed uniquely if three angles and any two sides are given.
