Question

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

Answer 1

Hint: In order to solve this problem we need to know that as the name suggests equilateral each angle in the equilateral triangle is equal.

Complete step-by-step answer:
Let each angle in the equilateral triangle be x.
As we know that the sum of all three angles in any triangle is 180 degrees.

So we have,
$\Rightarrow x+x+x={180}^o$
$\Rightarrow 3x={180}^o$
$\Rightarrow x={60}^o$
So each angle in an equilateral triangle is of 60 degrees.

Note: In this problem you need to know that the sum of each angle in a triangle is 180 degrees and all three angles are equal. Proceeding with this information your problem will be solved.