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6-1: Polygon Angle-Sum Theorems. CP Geometry Mr. Gallo. Shapes for the next page. Draw all the diagonals possible from only one vertex. Use the information in the chart on the next page. .

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## 6-1: Polygon Angle-Sum Theorems

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**6-1: Polygon Angle-Sum Theorems**CP Geometry Mr. Gallo**Shapes for the next page. Draw all the diagonals possible**from only one vertex. Use the information in the chart on the next page.**Find the measures of the interior angles of the following**polygons. Complete the table below. Use the shapes on the previous page. 4 2 2*180=360 3*180=540 3 5 4*180=720 4 6 5 7 5*180=900 6 6*180=1080 8**Polygon Angle-Sum Theorem**• The sum of the measures of the interior angles of an n-gon is: Examples: Find the sum of the measures of the following polygons: a). Decagon b). 15-gon c). dodecagon Complete Got It? #1 p. 353 a. 2700 b. sides**V**W x° 122° Q 82° U 121° 120° R P 129° R x° 118° 117° 118° T S T 86° S Find the value of x in each polygon.**Types of Polygons**Equilateral Polygon Equiangular Polygon Regular Polygon Corollary to the Polygon Angle-Sum Theorem The measure of each interior angle of a regular n-gon is: Complete Got It? #2 p. 354**Exteriors Angle of a Polygon**Find the sum of the exterior angles, one from each vertex of the following polygons. 90° 90° 86° 94° 115° 65° 75° 16° 70° 110° 164° 100° 80°**Polygon Exterior Angle Sum Theorem**• The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360°. 2 1 3 5 4 Complete Got It? #4 p. 355

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