1 / 8

Formulas involving Polygons

Formulas involving Polygons. Lesson 7.3. Sums of interior angles. Theorem 55: Sum S i of the measure of the angles of a polygon with n sides is given by the formula. S i = (n-2)180. Exterior angles. 1. 5. 2. 4. Sum of interior <‘s = 3(180) = 540

fausta
Télécharger la présentation

Formulas involving Polygons

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Formulas involving Polygons Lesson 7.3

  2. Sums of interior angles

  3. 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

  4. Exterior angles 1 5 2 4 Sum of interior <‘s = 3(180) = 540 Sum of 5 supplementary <‘s = 5(180) = 900 900 - 540 = 360 Total sum of all exterior <‘s = 360 3

  5. Theorem 56 : If one exterior angle is taken at each vertex, the sum Se of the measures of the exterior <‘s of a polygon is given by the formula Se = 360

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

  7. In what polygon is the sum of the measure of exterior <s, one per vertex, equal to the sum of the measure of the <s of the polygon? Quadrilateral 360 = 360

  8. In what polygon is the sum of the measure of interior <s equal to twice the sum of the measure of the exterior <s, one per vertex? Hexagon: 720 int. = 2(360) ext. 720 = (n-2)(180) 720 = 180n – 360 1080 = 180n n = 6

More Related