Measure of one angle of a rhombus is 40°. Find the measures of remaining three angles.
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Answer:
Let ABCD is a rhombus
Let ∠A be 40°
Therefore ∠C=40° (Opposite ∠s of a rhombus are equal)
Also,
∠B=∠D(Opposite ∠s of a rhombus are equal)——1
∠A+∠B+∠C+∠D=360°(ASP of a rhombus)
=>40°+∠B+40°+∠B=360°( from 1)
=>2∠B+80°=360
=>2∠B=360°-80°
=>2∠B=280°
=>∠B=280°/2
=>∠B=140°
Therefore,
∠A=40°
∠B=140°
∠C=40°
∠D=140°
Hope it is clear...
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PLEASE
Previous answer is wrong.
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