19. What is the sum of the measures of the exterior angles in a nonagon? Explain.

Question

Mathematics

Declan

13 February, 04:10

19. What is the sum of the measures of the exterior angles in a nonagon? Explain.

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Answers (1)

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Susan Clarke · Answer 1

Answer: 360°.

Explanation.

The sum of the measures of the exterior angles of any simple polygon is 360°. That is true for triangles, rectangles, pentagons, hexagons, a so on, any polygon including, of course, the nonagon.

You can verify this if you draw the nonagon with its 9 exterior angles. You can realize that you may translate every angle to one common vertex and that the sum of all angles is equal to a complete turn around the vertex. Of course, you know that a complete turn is an agle of 360°.