Question

In an equilateral triangle, what is the difference be-tween the sum of the exterior angles and the sum of the interior angles?

Answer 1

The difference be-tween the sum of the exterior angles and the sum of the interior angles is `180^@`.

Explanation:

Sum of interior angles of any triangle (irrespective of whatever is its type i.e. equilateral, isosceles, scalene, right angled, obtuse or acute angled etc.) is `180^@` and sum of exterior angles of any triangle (or for that matter any polygon of any number of sides) is always `360^@`.

Hence, the difference be-tween the sum of the exterior angles and the sum of the interior angles is `360^@-180^@=180^@`.