Find the measure of each angle of an equilateral triangle.
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Let ∆ABC be an equilateral triangle. Then , AB = BC = CA.
We know that all the angles in an equilateral triangle are equal
Therefore,
∠A = ∠B = ∠C ………... (1)
Now,
We know that, the sum of all angles of triangle is 180°.
∠A + ∠B + ∠C = 180°
∠A + ∠A + ∠A = 180°
3∠A = 180°
∠A = 180°/3
∠A = 60°
∠A = ∠B = ∠C = 60°
Hence, the measure of each angle of an equilateral triangle is 60°.
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