Answer:
The sum of the measures of the exterior angles of a polygon with 15 sides will be 360°.
Step-by-step explanation:
- The Exterior Angle Sum Theorem defines that the sum of the exterior angles of any convex polygon is 360°.
Given that a polygon has 15 sides.
If the polygon is regular with 15 sides, it indicates that each exterior angle is
360°/15 = 24°
- so the measure of each exterior angle of a 15 sided polygon is 24°.
As the polygon has 15 sides, the sum of the measures of the exterior angles of a polygon will be:
Therefore, the sum of the measures of the exterior angles of a polygon with 15 sides will be 360°.
