Question

What is the maximum exterior angle possible for a regular polynomial?​

Answer 1

Step-by-step explanation:

The sum of an interior angle and an exterior angle is always supplementary. So for an equilateral triangle, each exterior angle is 120° and interior angle is 60°. The maximum exterior angle possible for a regular polygon is 120°.

Answer 2

Answer:

Polygon is a 2-dimensional plane surface.

In a polygon, the number of vertex is same as number of sides.

In a n-sided regular polygon, all the sides, internal angles and exterior angles are equal. As the number of sides increase, the interior angles increase, whereas the exterior angle decrease.

The least number of possible sides for a polygon is three. That's is an equilateral triangle. Equilateral triangles are equiangular.

The sum of exterior angles of a n-polygon is always 360°.

Each exterior angle = 360°/n; n = 3,4,5,6,7,8,.......

As the denominator 'n' increase, exterior angle decrease.

While as 'n' decreases, exterior angle increases.

Obviously, n = 3, the exterior angle will be maximum.

The sum of an interior angle and an exterior angle is always supplementary. So for an equilateral triangle, each exterior angle is 120° and interior angle is 60°.

The maximum exterior angle possible for a regular polygon is 120°.