Question

1. what is the sum of the exterior angles, one at each vertex, of a polygon with 20 sides?

180°
we need more information.
360°
20°

Explanation:

Step1: Recall the exterior angle sum theorem

The sum of the exterior angles of any polygon (one at each vertex) is a constant value.

Step2: Apply the theorem

According to the exterior angle sum theorem, for any convex polygon, the sum of its exterior angles (one at each vertex) is \(360^{\circ}\). It does not depend on the number of sides of the polygon. Whether the polygon has \(3\) sides (triangle), \(20\) sides or \(n\) sides, the sum of its exterior angles (one at each vertex) is \(360^{\circ}\).

Answer:

\(360^{\circ}\) (corresponding to the option \(360^{\circ}\))