Construct a rhombus ABCD, such that each of its side is 4.8 cm and ∠A = 120°.

We know that,

Sum of consecutive angles of rhombus = 180°

⇒ ∠A + ∠B = 180°

⇒ 120° + ∠B = 180°

⇒ ∠B = 180° - 120°

⇒ ∠B = 60°

Steps of construction:

1. Draw a line segment AB = 4.8 cm.

2. At A, construct an angle ∠XAB = 120°.

3. From XA, cut off AD = 4.8 cm.

4. Through D, draw DY parallel to AB.

5. At B, construct an angle ∠ZBA = 60°, intersecting XY at C.

6. Join C and D.

Hence, ABCD is the required rhombus.