In rhombus ABCD :

(i) if ∠A = 74°, find ∠B and ∠C.

(ii) if AD = 7.5 cm, find BC and CD.

(i) In a rhombus, opposite angles are equal, and the diagonals bisect each other at 90°. Additionally, consecutive angles are supplementary.

⇒ ∠A + ∠B = 180°

It is given that ∠A = 74°.

⇒ 74° + ∠B = 180°

⇒ ∠B = 180° - 74°

⇒ ∠B = 106°

Since opposite angles are equal, we have:

∠A = ∠C and ∠B = ∠D

Hence, ∠B = 106° and ∠C = 74°.

(ii) In a rhombus, all sides are equal.

Therefore, AB = BC = CD = DA = 7.5 cm.

Hence, the length of sides BC = CD = 7.5cm.