Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, &ang;A = 75°, &ang;B = 80° and &ang;C = 120°.

Construct a Quadrilateral Abcd Given that Ab = 4 Cm, Bc = 3 Cm, ∠A = 75°, ∠B = 80° and ∠C = 120°. - Mathematics

Answer in Brief

Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.

Steps of construction:

Step I: Draw AB = 4 cm .

Step II: Construct ∠XAB = 75° at A and ∠ABY = 80° at B .

Step III: With B as the centre and radius 3 cm, cut off BC = 3 cm .

Step IV: At C, draw ∠BCZ = 120° such that it meets AX at D .

The quadrilateral so obtained is the required quadrilateral .

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Chapter 18 Practical Geometry (Constructions)
Exercise 18.5 | Q 1 | Page 13