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Sum

In rhombus ABCD;

(i) if ∠A = 74° ; find ∠B and ∠C.

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

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#### Solution

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

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