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.



4