construct a quadrilateral PQRS ion which PQ = 4 5cm, angle Q =120 , QR = 3 8cm angle QRS - Maths - Practical Geometry

Question

construct a quadrilateral PQRS ion which PQ = 4 5cm, angle Q
=120°, QR = 3 8cm angle QRS = 100° angle P= 60°

Vijay Kumar Gupta · Accepted Answer

Follow the following steps of construction to construct the requiredquadrilateral
1  Draw a line segment PQ=4 5 cm
2 At point A, construct ∠XAQ=60°  and at point Q, construct another ∠YQA=120°
3 With Q as center and radius equal to 3
8 cm, cut off a line segment QR=3
8 cm from ray QY
4 At point R, draw an angle of measure 100°, ∠ZRQ=100° which intersect ray PX at point S
Then PQRS is the required quadrilateral
The figure is shown below:

construct a quadrilateral PQRS ion which PQ = 4.5cm, angle Q =120°, QR = 3.8cm angle QRS = 100° angle P= 60°