1. Chapter 6
Quadrilaterals

2. 6.1 Angles of Polygons

3. Types of Polygons Triangle – 3 sides Quadrilateral – 4 sides
Pentagon – 5 sides
Hexagon – 6 sides
Heptagon – 7 sides
Octagon – 8 sides
Nonagon – 9 sides
Decagon – 10 sides
Dodecagon – 12 sides
All other polygons = n-gon

4. Interior Angle Sum Theorem Exterior Angle Sum Theorem
The sum of the measures of the interior angles of a polygon is found by S=180(n-2)
Ex: Hexagon
Exterior Angle Sum Theorem
The sum of the measures of the exterior angles of a polygon is 360 no matter how many sides.

5. Lesson 6.1 : Angles of Polygons
Find the measure of an interior and an exterior angle for each polygon.
24-gon
3x-gon
Find the measure of an exterior angle given the number of sides of a polygon
260 sides

6. Lesson 6.1: Angles of Polygons
The measure of an interior angle of a polygon is given. Find the number of sides.
175
168.75
A pentagon has angles (4x+5), (5x-5), (6x+10), (4x+10), and 7x. Find x. =5
360/5= 72

7. A. Find the value of x in the diagram.