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Equiangular Polygon - all angles congruent Equiangular Polygon - all angles congruent Equilateral Polygon – all sides congruent Equiangular Polygon - all angles congruent Equilateral Polygon – all sides congruent Regular Polygon - equiangular equilateral polygon Chart for polygons s i d e s Name f diagonal i from 1 g vertex u r e total triangles diagonals formed by diag from 1 vertex sum of interior angles sum each exterior interior angles angle 1 each If vertex equiangular each exterior angle if equiangular 3 Triangle 0 0 1 1*180=180 360 180/3=60 360/3=120 4 Quadrilateral 1 2 2 2*180=360 360 360/4=90 360/4=90 5 Pentagon 2 5 3 3*180=540 360 540/5=108 360/5=72 6 Hexagon 3 9 4 4*180=720 360 720/6=120 360/6=60 7 Septagon 4 14 5 5*180=900 360 900/7=128 4/7 360/7=51 3/7 8 Octagon 5 20 6 6*180=1080 360 1080/8=135 360/8=45 9 Nonagon 6 27 7 7*180=1260 360 1260/9=140 360/9=40 10 Decagon 7 35 8 8*180=1440 360 1440/10=144 360/10=36 N n-agon n-3 n(n-3)/2 (n-2)*180 360 (n-2)*180/n 360/n ***** n-2 ***** ***** ***** *****