Question

Show that the angles of an equilateral triangle are ${60}^{\circ }$ each.

Answer 1

Equilateral triangle is a triangle whose all angles are same.
Let the each unknown angles be $x$.
As we have the sum of interior angles of a triangle is $={180}^{\circ }$.
$\Rightarrow x+x+x={180}^{\circ }$
$\Rightarrow 3x=180$
$\Rightarrow x=\frac{180}{3}$
$\therefore x={60}^{\circ }$
Hence, each interior angle of a equilateral triangle is ${60}^{\circ }$