Download Geometry 8.1 Done.notebook

Geometry 8.1 Done.notebook
January 30, 2017
Extra CREDIT ON DESK!!
8.1 Angle Measures in Polygons
Objective
iWBAT: find the measure of interior and exterior angles of convex polygons.
Bell Work
1.
2. Factor
Jan 22­04:52 PM
Announcements ­ Heart of a Lion
­ Differences ­ Creating Account for ACT
­ Make Up Tests
­ C7 Tests Jan 14­10:12 AM
1
Geometry 8.1 Done.notebook
January 30, 2017
Diagonals - Sum of interior angles
Jan 23­9:46 AM
Polygons Interior Angles Theorem
The sum of the measures of the interior angles of a convex n­gon.
(n ­ 2) 180
n = # of sides of the polygon
Jan 27­2:39 PM
2
Geometry 8.1 Done.notebook
# of Sides
January 30, 2017
Polygon
Sum of interior angles
3
4
5
6
7
8
9
10
11
12
Jan 25­10:01 AM
Ex 1: Find x.
Jan 27­2:45 PM
3
Geometry 8.1 Done.notebook
January 30, 2017
Ex 2:
Find the sum of the measures of the interior
angles of a convex 25-gon.
Jan 28­8:07 AM
Ex 3:
The sum of the measures of the interior angles
of a convex polygon is 2340°.
Classify the polygon by the number of sides.
Jan 28­8:04 AM
4
Geometry 8.1 Done.notebook
January 30, 2017
Ex 4:
The sum of the measures of the interior angles
of a convex
polygon is 3960°.
Classify the polygon by the number of sides.
Jan 28­8:06 AM
The sum of the measures of the
exterior angles of a convex polygon
is 360°.
Always!!
No matter the # of sides!!
Jan 28­9:32 AM
5
Geometry 8.1 Done.notebook
January 30, 2017
Ex 5: What is the value of x?
Jan 28­9:37 AM
Ex 6:
A stop sign is shaped like a regular octagon.
Find the measure of ONE interior angle and
ONE exterior angle of that stop sign.
Jan 28­9:46 AM
6
Geometry 8.1 Done.notebook
January 30, 2017
Ex 7: Find the measure of ONE interior
angle and ONE exterior angle of a
REGULAR dodecagon.
Jan 27­7:51 AM
8.1 Practice Problems
1. Classify the polygon by
2. Find the value of x.
the number of sides, given
the sum of the measures of
the interior angles of a
convex polygon.
Due 1/31
3. Find the value of x.
a. 5400°
b. 8640°
4.
5.
6.
7.
Find the measure of ONE interior angle and ONE exterior angle of a REGULAR 45-gon.
Find the measure of ONE interior angle and ONE exterior angle of a REGULAR 60-gon.
Jan 27­12:54 PM
7