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Transcript
Geometry 5.1 Notes - Polygon Angle Sum Name___________________________ Per___ There are some polygon interior angle sums you probably already know… Triangle Angle Sum = _________ Quadrilateral Angle Sum = ________ Pentagon Angle Sum = _______ But what about interior angle sums of larger polygons? Use the Triangle Method! TASK: Complete the table below. Look for a pattern in your results and try to find an angle-sum formula for any n-gon. FORMULA: Angle sum for any polygon with n sides = ________________________ Suppose we have an equiangular polygon, as seen below. How can we find the measure of ONE interior angle? FORMULA: One interior angle of a regular polygon with n sides = ____________________________ Using these formulas in reverse (algebra is your friend). EXAMPLE 1: How many sides does a polygon have if the sum of its angles measures is 5220°? EXAMPLE 2: How many sides does an equiangular polygon have if each interior angle measures 165°?
