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प्रश्न
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
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उत्तर
\[\text { Steps of construction: }\]
\[\text { Step I: Draw PQ = 4 cm }. \]
\[\text { Step II: Construct } \angle XPQ = 50^\circ \text { at P and } \angle PQY = 110^\circ \text { at Q }. \]
\[\text { Step III : With Q as the centre and radius 5 cm, cut off QR = 5 cm } . \]
\[\text { Step IV: At R, draw } \angle QRZ = 70^\circ \text { such that it meets PX at S } . \]
The quadrilateral so obtained is the required quadrilateral .
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संबंधित प्रश्न
Construct the following quadrilaterals.
Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
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HE = 5 cm
EA = 6 cm
∠R = 85°
Construct a quadrilateral ABCD in which AB = BC = 6 cm, AD = DC = 4.5 cm and ∠B = 120°.
Construct a quadrilateral ABCD, in which AB = 6 cm, BC = 4 cm, CD = 4 cm, ∠B = 95° and ∠C = 90°.
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Construct a quadrilateral PQRS, in which ∠Q = 45°, ∠R = 90°, QR = 5 cm, PQ = 9 cm and Rs = 7 cm.
Construct a quadrilateral BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.
Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.
Construct a quadrilateral PQRS, where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
Construct the following quadrilaterals with the given measurements and also find their area.
AGRI, AG = 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°
