Sum of Exterior Angles of a Polygon

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Exploration

GR. 6-8

Skill:

Use properties, definitions, and theorems of polygons to solve problems related to the interior and exterior angles of a convex polygon.

Sum of Exterior Angles of a Polygon

Explore the sum of exterior angles of a polygon in this activity.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

When you move the slider to animate, what shape is formed by the exterior angles?

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Open-ended question 2

How many degrees are in a circle?

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Open-ended question 3

If all of the exterior angles form the shape of a circle, what is the sum of the measures of the exterior angles of a polygon?

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Open-ended question 4

Will the sum of the measures of the exterior angles of a polygon always be the same?

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