Construct a rhombus, having given one side = 4.8 cm and one angle = 75°.

Steps of construction :

1. Draw a line segment AB = 4.8 cm.

2. At A draw AX such that ∠BAX = 75°.

3. With A as center and radius equal to 4.8 cm draw an arc cutting AX at D.

4. Using the same radius taking D and B as centers cut off arcs, which will intersect at C.

5. Join CD and BC.

Hence, ABCD is the required rhombus.