Construct a quadrilateral ABCD ∠A = 65°, ∠B = 105°, ∠C = 75°, BC = 5.7 cm and CD = 6.8 cm.
We know that the sum of all the angles in a quadrilateral is 360
i.e. ∠A+∠B+∠C+∠D = 360°
∠D = 115°
Steps of Construction:
Step I: Draw BC = 5.7 cm.
Step II: Construct ∠XBC = 105° and ∠BCY = 75.
Step III: With C as the center and radius 6.8 cm, cut off CD = 6.8 cm.
Step IV: At D, draw ∠CDZ = 115° such that it meets BY at A.