The Sum of the Interior Angles of a Hexagon

Author:
Linda Park

Name the polygon. (Use the given points)

How many sides (n) does it have?

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Calculate the sum of the interior angles.

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Choose a point on the hexagon and use the segment tool to split it into six equal parts.

What shape did you create?

What is the sum of the interior angles of any triangle?

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What is the sum of the angle measures of all the triangles?

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What is the sum of all of the centroid angles?

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The sum of the angle measures of all _____ minus the sum of all of the _____ angles equals the sum of the interior angles of a _____.

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Now write the above statement numerically. (i.e. 1440-360=880)

Using the numerical formula above, come up with the formula to calculate the sum of the interior angles of a polygon. (Hint: factor out 180 first) Type in your response below and set it equal to the sum of the interior angles of a hexagon. (Use n as your variable)

With the formula you created, find the sum of the interior angles for an octagon.

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