Construct a trapezium in which AB || CD, AB = 4.6 cm, ∠ABC = 90°, ∠DAB = 120° and the distance between parallel sides is 2.9 cm.

Steps of construction:

1. Draw a line segment AB = 4.6 cm.
2. At B, draw a ray BZ making an angle of 90° and cut off BC = 2.9 cm. (distance between AB and CD)
3. At C, draw a parallel line XY to AB.
4. At A, draw a ray making an angle of 120° meeting XY at D.
5. Join AD, DC. Then ABCD is the required trapezium.