Question

Find the measure of each angle of an equilateral triangle.

Answer 1

Let ABC is an equilateral triangle

We know that all the angles in an equilateral triangle are equal.

Therefore,

∠A = ∠B = ∠C (i)

Now,

∠A + ∠B + ∠C = 180°(Sum of all angles of a triangle)

∠A + ∠A + ∠A = 180°

3∠A = 180°

∠A = \(\frac{180}{3}\)

= 60°

Hence, the measure of each angle of an equilateral triangle is 60°