Construct a quadrilateral ABCD in which BC = 5.5 cm, CD = 4 cm, ∠ A = 70°, ∠ B = 110° and ∠ D = 85°.

∠ C = 360° - (∠ A + ∠ B + ∠ D)
= 360° - (70° + 110° + 85° )
= 360° - 255° = 105° Steps of construction:
1. Draw BC = 5.5 cm.
2. At B, draw an angle BCC' of measure 105° using a protractor.
3. With C as centre draw an arc on CC' such that CD = 4 cm.
4. At D, draw an angle of measure 85° using a protractor.
5. At B, draw an angle BCC' of measure 110° using a protractor to cut DD' at A.ABCD is the required quadrilateral.