Question

Show that the angles of an equilateral triangle are 60° each.

Answer 1

Answer:

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Answer 2

For an equilateral triangle, we know that all 3 sides of the triangle are equal. Accordingly, all the 3 sides of the equilateral triangle hold equal angles.

Since, we know, that the sum of all angles of any triangle be 180° .

Let each angle be

Thus, a+a+a=180^{\circ}a+a+a=180 ∘

\begin{gathered}\begin{array}{l}{\Rightarrow \quad 3 a=180^{\circ}} \\ {\Rightarrow a=\frac{180^{\circ}}{3}} \\ {\Rightarrow a=60^{\circ}}\end{array}\end{gathered}

⇒3a=180 ∘

⇒a= 3 180 ∘

⇒a=60 ∘

Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.