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Transcript
Advanced Geometry A regular polygon is a polygon that is both equilateral and equiangular. Which appears to be a regular polygon? Why? The exterior angles of any polygon (regardless if it is equilateral or equiangular) is always 360 degrees. However, we have a special formula for equiangular polygons (they don’t have to be regular polygons, but can be). An equiangular polygon has interior angles that are all congruent. A line can be drawn so that the interior angle and the exterior angle are supplementary. The exterior angles of any polygon equal 360 degrees. Number of sides 3 4 5 120 90 72 Shape Measure of Each Exterior Angle *Hint: Look for a relationship between the measure of each exterior angle and what we know is the sum of all the exterior angles . The measure E of each exterior angle of an equiangular polygon of n sides is given by the formula: E 360 n