in a rhombus ABCD, if EA = 60 find GB , DC and ID
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Given : in a rhombus ABCD ∠A = 60°
To Find : ∠B, ∠C and ∠D
Solution:
a rhombus is also a parallelogram
Hence opposite angles are equal
and sum of adjacent angles is 180°
∠C = ∠A
∠A = 60°
=> ∠C = 60°
∠A + ∠B = 180°
∠A + ∠D = 180°
∠A = 60°
=>
60° + ∠B = 180° => ∠B = 120°
60° + ∠D = 180° => ∠D = 120°
∠B = 120° , ∠C = 60° , ∠D = 120°
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