Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.
We know that the sum of all the angles in a quadrilateral is 360.
i.e. ∠A+∠B+∠C+∠D = 360°
∠C = 95°
Steps of construction:
Step I: Draw BC = 5.5 cm.
Step II: Construct ∠XBC = 110° at A and ∠BCY = 95°.
Step III: With C as the center and radius 4.1 cm, cut off CD = 4.1 cm.
Step IV: At D, draw ∠CDZ = 85° such that it meets BY at A.