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

1 Answer
Dec 26, 2016

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^@#.