Abstract
At some point in any geometry class, students examine the sums of the measures of interior and exterior angles of simple polygons. These concepts can be further reinforced by examining the sums of the interior angles of other polygonal shapes. What began as an investigation of a question about a fivepointed star with one of my classes became an extended problem-solving and problem-posing experience that led us to computer explorations on The Geometer's Sketchpad (Jackiw 1991) and conjectures of broad generalizations through inductive reasoning.
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