# Interior Angles of a Polygon Worksheet

Document Sample

```					                  Day 4 Problems 3/11/08
• Find the sum of the measures of the interior angles of the
convex polygon with n sides.
1. n = 15                      2. n = 8

• Find the measure of          G.             H

3.     F                             4.       103°
G                                J
111°                                      133°

E 118°
G                58°
130°          109°                                        K
D               H
Polygon Exterior Angles Theorem    3/11/08
• The sum of the measures of the exterior
angles of a convex polygon, one angle at each
vertex, is 360°.
3

2

4

n=5
1
5

• m     1+m     2 + … + m n = 360°
Find the Measure of an Exterior Angle
• Find the value of x.
85°
2x°

95°
x°

• Using the Polygon Exterior Angles Theorem, set the sum
of the measures of the exterior angles equal to 360°.
95° + 85° + 2x° + x° = 360°
180 + 3x = 360
-180        -180
3x = 180
x = 60
The value of x is 60.
Find Exterior Angle Measures
• Find the value of x.
x°

2x°

120°

2x° + x° + 120° = 360°
3x + 120 = 360
- 120 -120
3x = 240
x = 80
More Practice!!!
• Textbook – p. 420 #5 – 8, p. 420 # 6 and
7, p. 421 #24 and 25, p. 423 #7 and 8.
• Homework – worksheet 8.2

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 827 posted: 4/18/2011 language: English pages: 5
Description: Interior Angles of a Polygon Worksheet document sample