Properties and Attributes of Polygons 6.1 Properties and Attributes of Polygons
Polygon Vocab POLYGON: Diagonal: Concave Polygons: Convex polygons: Regular polygon:
Name the polygon by how many sides it has.
Sum of interior angles (& each angle!)
Sum interior angles = (n – 2)•180º Ex 1: Find the sum of the measures of interior angles of the convex polygon: (*Think – how many triangles will it divide into?) a) hexagon b) decagon c) 13-gon b) 121-gon
6-1: Angles Measures in Polygons 4/15/2017 Ex 2: Find the value of x 3x-2 3x 3x+4 4x-5 4x x+3 Find sum of all interior angles 2) Set up equation Ex 3: The sum of the interior angles = 2700º. Find the # of sides. M217 - Denna
Ex 4: Find the number of sides (n) of the convex regular polygon if… (Formula to find the sum of angles: ___________________) ONE interior angle = 160º
Exterior Angles of a polygon: Find each exterior angle 1 = 2 = 3 = 4 = 5 = Sum =
Ex 6: Find the value of x
For ALL Convex Polygons Sum of exterior angles Sum = 360º ONE exterior angle of a regular n-gon is: Exterior = 360 n
In Summary… Sum interior angles of a convex n-gon is: Sum = (n – 2)180 One interior angle of a regular n-gon is:
Ex 7: Find the measure of each exterior and interior angle if given the # of sides of a regular polygon. 7 sides Exterior Angle Interior Angle 19 sides