1. Properties and Attributes of Polygons
6.1
Properties and Attributes of Polygons

2. Polygon Vocab POLYGON: Diagonal: Concave Polygons: Convex polygons:
Regular polygon:

3. Name the polygon by how many sides it has.

4. Sum of interior angles (& each angle!)

5. 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. 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

7. 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

8. Exterior Angles of a polygon: Find each exterior angle
1 =
2 =
3 =
4 =
5 =
Sum =

9. Ex 6: Find the value of x

10. For ALL Convex Polygons
Sum of exterior angles
Sum = 360º
ONE exterior angle of a regular n-gon is:
Exterior  = n

11. In Summary… Sum interior angles of a convex n-gon is:
Sum = (n – 2)180
One interior angle of a regular n-gon is:

12. 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