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    Polygons : Angles Encountered as One Walks Around a Polygon

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    Draw three different nonconvex polygons. When you walk around a polygon, at each vertex you need to turn either right (clockwise) or left (counterclockwise). A turn to the left is measured by a positive number of degrees and a turn to the right by a negative number of degrees. Find the sum of the measures of the turn angles of the polygons you drew. Assume you start at a vertex facing in the direction of a side, walk around the polygon, and end up at the same vertex facing in the same direction as when you started.

    Please see the attached file for the fully formatted problems and a diagram of the polygon.

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    Solution Preview

    See the attachment for a formatted response.

    Start at the upper left corner - point A - start walking clockwise around the shape - across the top. The first turn you make is 45° to the ...

    Solution Summary

    The solution for nonconvex polygon problem is determined.