Find the values of x and y 1.) 2.) Get it ready to turn in. 3-5: Polygons Polygons Investigation Get into groups of 2-3 Complete the Polygons Investigation Worksheet Polygon Angle-Sum Theorem If then a polygon has n sides π π π π π π the sum of the internal β measures is πππ ππ β π = π β π πππ Polygon Exterior Angle-Sum Theorem If a polygon has n π sides and 1 ext. β π at each vertex then π π π π the sum of the external β measures is πππ ππ β π = πππ Regular Polygons A polygon is a if all sides are β and all β s are β . What is the measure of each interior angle of regular n-gon? Each exterior angle? Regular Polygons Regular Polygon Angle Theorem β If β a polygon has n sides and is regular then each β is β to each other and has measure πβ = π β π πππ π Example The measure of one interior angle of a regular polygon is 5/12 the sum of the measures of its exterior angles. How many sides does the polygon have? p. 104: 1-25 odd, 10, 16
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