Formulas involving Polygons

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Presentation transcript:

Formulas involving Polygons Lesson 7.3

Sums of interior angles

Theorem 55: Sum Si of the measure of the angles of a polygon with n sides is given by the formula Si = (n-2)180

Exterior angles 1 5 2 4 3

Theorem 57: The number of diagonals that can be drawn in a polygon of n sides is given by the formula d = n(n-3) 2 Try: draw then do the math!

Quadrilateral 360 = 360

Hexagon: 720 int. = 2(360) ext. 720 = (n-2)(180) 720 = 180n – 360 Hexagon: 720 int. = 2(360) ext. 720 = (n-2)(180) 720 = 180n – 360 1080 = 180n n = 6