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The Sum of the Interior Angles of a Hexagon

Author:
Linda Park
Topic:
Angles, Geometry

Name the polygon. (Use the given points)

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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?

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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)

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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)

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

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