Question

Show that the angles of an equilateral triangle are ${60}^o$ each

Answer 1

In an equilateral triangle all sides are equal . If all sides are equal then the corresponding angles are also equal.

Let the angles be $a,a,a$

We know that sum of angles of a triangle$=180$

$a+a+a=1803a=180a=60$

$\therefore$ each angle $={60}^{\circ }$