Construct a quadrilateral ABCD ∠A = 65°, ∠B = 105°, ∠C = 75°, BC = 5.7 cm and CD = 6.8 cm.

The given details are ∠A = 65°, ∠B = 105°, ∠C = 75°, BC = 5.7 cm and CD = 6.8 cm.

We know that ∠A + ∠B + ∠C + ∠D = 360°

∠D = 115°

Steps to construct a quadrilateral:

Step 1- Draw a line BC = 5.7cm

Step 2- Construct and angle of 105° at B.

Step 3- Construct and angle of 75° at C.

Step 4- Cut an arc of radius 6.8cm with C as the center to mark that point as D.

Step 5- Construct and angle of 115° at D such that it meets the line segment BX, mark that point as A.

Step 6- Now join CD, DA and BA