University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2024
Views:

171

Pages:

2
Author:

Angelica Rose

Convex: all diagonals inside the polygon Concave: diagonals on the outside of the polygon Sides 4 Porygon Quad. 5 0 7 Suminterior Angie 360 540 10 12 1000 n-gen 10-180 Theorem 3.13-Angles of a Polygon- The sum of the measures of the angles of a convex polygon of n sides Ex Find the sum of the measures of a polygon with 15 sides. (15-2) (180) 13 (180) 2340 Ex A polygon has 3600 degrees, how many sides does the polygon have? (n-2)180=3600 186 180 1-2=20 12 2 7=22 Ex Find x and y 110+1156+135+120-18 110 2x 258 x 124 116 720 135 120 Regular: when a polygon is both equilateral and equiangular 10 ex: Find the measure of the interior angles of a regular decagon ー180 1440 The relationship between the interior and exterior angles of any polygon is:TE=40 Theorem 3.14-Exterior Angles Polygon- The sum of the measures of the exterior angles of a convex polygon 360 ex. Find the measure of an exterior and interior angle of a regular 15-gon E-860 15 E34 Eor 242:180 156 15-20 15 nd=360 360 dode 340 30 ex: Find the number of sides a regular polygon has if each exterior angle measures 30. ex Find x 2x 3x+25 4x15