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absor201

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:

  • 15 × 24 = 360°

Therefore, the sum of the measures of the exterior angles of a polygon with 15 sides will be 360°.

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