Question

Construct a quadrilateral ABCD, where AB = 4.2 cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.

Answer 1

Steps of construction: 

Step I: Draw BC = 3 . 6 cm . 

Step II: Construct ∠ABC = 30° at B .

Step III : With B as the centre and radius 4 . 2 cm, cut off BA = 4 . 2 cm . 

Step IV: Construct ∠BCD = 150° at C . 

Step V : With C as the centre and radius 4 . 8 cm, cut off CD = 4 . 8 cm . 

Step VI: Join AD . 

The quadrilateral so obtained is the required quadrilateral .