Question

Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.

Answer 1

Fourth angle = 360° – (60° + 110° + 85°)

= 360° – 255°

= 105°

Steps of construction:

Step I: Draw NE = 7 cm.

Step II: Make ∠NEX = 110°

Step III: With E as centre and radius 6 cm, draw an arc, cutting EX at W.

Step IV: Make ∠EWY = 105°

Step V: Make ∠ENZ = 60°, so that NZ and WY intersect each other at point S.

Hence, NEWS is the required quadrilateral.