1. Section 6-1 Angles of Polygons

2. Then Now Objectives You named and classified polygons.
Find and use the sum of the measures of the interior angles of a polygon.

3. Common Core State Standards
Content Standards
G.MG.1 – Use geometric shapes, their measures, and their properties to describe objects.
Mathematical Practices
3) Construct viable arguments and critique the reasoning of others.
4) Model with mathematics.
Common Core State Standards

4. Diagonal: a segment that connects any two nonconsecutive vertices of a polygon.
Vocabulary

5. Sum of Interior Angle Measures
Polygon
Number of Sides
Number of Triangles
Sum of Interior Angle Measures 3 1
180 4 5

7. Remember!

8. Find the sum of the measures of the interior angles of each convex polygon.
Decagon
Heptagon
36-gon
Example 1

9. Find the sum of the measures of the interior angles of each convex polygon.
Hendecagon
Nonagon
44-gon
Example 1

10. The measure of an interior angle of a regular polygon is 144
The measure of an interior angle of a regular polygon is Find the number of sides in the polygon.
Example 2

11. The measure of an interior angle of a regular polygon is 156
The measure of an interior angle of a regular polygon is Find the number of sides in the polygon.
Example 2

12. The measure of an interior angle of a regular polygon is given
The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon. 90
108
160
165
Example 2

13. p.397 #1, 2, 6, 7, 12 – 15,
Homework