Question

ABCD is a rhombus in which \_ABC= 58° find the measure of \_ ACD

Answer 1

We are given, ABCD is a rhombus.

so, ∠B = ∠D and ∠A = ∠C .....................................(1)

But, ∠A + ∠B + ∠C + ∠D = 360°
we are given ∠B = ∠D =58°  ..................................(2)

so ∠C + ∠C + 116° = 360°                [By (1) & (2)]
     2∠C = 360° -116°
     2∠C = 244°
so, ∠C = 122°

so ∠ACD = ∠C = 122°

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