Question

In rhombus ABCD;
(i) if ∠A = 74° ; find ∠B and ∠C.
(ii) if AD = 7.5 cm ; find BC and CD.

Answer 1

AD || BC
∠A + ∠B = 180°
74° + ∠B = 180°
∠B =180° – 74°= 106°

opposite angles of Rhombus are equal.

∠A = ∠C = 74°

Sides of Rhombus are equal.

BC = CD = AD = 7.5 cm

(i) ∠B = 106° ; ∠C = 74°

(ii) BC = 7.5 cm and CD = 7.5 cm