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Construct a Quadrilateral Pqrs, in Which Pq = 4 Cm, Qr = 5 Cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°. - Mathematics

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ConceptConstructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known

Question

Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.

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 .

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 18: Practical Geometry (Constructions)
Ex. 18.5 | Q: 6 | Page no. 13
Solution Construct a Quadrilateral Pqrs, in Which Pq = 4 Cm, Qr = 5 Cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
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