Math Problem Statement

The exterior angles of an octagon are marked on the diagram below. What is the sum of these angles?

Solution

The question asks for the sum of the exterior angles of an octagon.

Regardless of the number of sides in any polygon, the sum of the exterior angles is always 360 degrees. This rule applies to any convex polygon, including an octagon.

So, the sum of the exterior angles of the octagon is:

360 degrees.

Would you like more details on this concept?

Here are some related questions you might find useful:

  1. What is the sum of the interior angles of an octagon?
  2. How do exterior and interior angles relate in polygons?
  3. How can you calculate the measure of one exterior angle of a regular octagon?
  4. What is the formula for the sum of exterior angles of any polygon?
  5. How do the exterior angles change for irregular polygons?

Tip: The sum of exterior angles for any polygon is always 360°, no matter the number of sides.

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Math Problem Analysis

Mathematical Concepts

Exterior Angles
Polygons
Octagon Geometry

Formulas

Sum of exterior angles of any polygon = 360°

Theorems

Exterior Angle Theorem for polygons

Suitable Grade Level

Grades 6-8