Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠ A = 75°, ∠ B = 80° and ∠ C = 120°.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw AB = 4 cm.

Step II: Construct ∠XAB = 75° at A and ∠ABY = 80° at B.

Step III: With B as the center and radius 3 cm, cut off BC = 3 cm.

Step IV: At C, draw ∠BCD = 120° such that it meets AX at D.