1. What is the sum of the measures of the interior angles of an octagon?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Bell:
Homework 1: Angles of Polygons
** This is a 2-page document! **
1. What is the sum of the measures of the interior angles of an octagon?
2. What is the sum of the measures of the interior angles of a 25-gon?
3. What is the measure of each interior angle of a regular hexagon?
4. What is the measure of each interior angle of a regular 16-gon?
5. What is the sum of the measures of the exterior angles of a decagon? 360
6. What is the measure of each exterior angle of a regular 30-gon?
7. If the exterior angle of a regular polygon is 22.5°, how many sides does it have?
360
166
8. If the interior angle of a regular polygon measures 170°, how many sides does it have?
Seee
9. If the sum of the measures of the interior
angles of a polygon is 1980°, how many sides
does it have?
10. If the sum of the measures of the interior
angles of a polygon is 5400°, how many sides
does it have?
1980-
ニ|+2= 13
180
5400 = 3012=30
180
11. The measure of the seven angles in a nonagon measure 138°, 154°, 145°, 132°, 128°, 147°, and
130°. If the two remaining angles are equal in measure, what is the measure of each angle?
13. Find the value of x. (8-1180
(5-21180
540
12. Find the value of x.
T,080
124
136°
87オIO3+133192
= 936
87°
141°
132
540-419
1,080-936
92
こ12
158°
129°
105
135°
116°
144
O Gina Wilson (All Things Algebra), 2014
I have performed the above approved community service
Bright Futures Scholarship Award.
Date
Date
Signature of Student
Signature of Parent
Transcribed Image Text:Bell: Homework 1: Angles of Polygons ** This is a 2-page document! ** 1. What is the sum of the measures of the interior angles of an octagon? 2. What is the sum of the measures of the interior angles of a 25-gon? 3. What is the measure of each interior angle of a regular hexagon? 4. What is the measure of each interior angle of a regular 16-gon? 5. What is the sum of the measures of the exterior angles of a decagon? 360 6. What is the measure of each exterior angle of a regular 30-gon? 7. If the exterior angle of a regular polygon is 22.5°, how many sides does it have? 360 166 8. If the interior angle of a regular polygon measures 170°, how many sides does it have? Seee 9. If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have? 10. If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it have? 1980- ニ|+2= 13 180 5400 = 3012=30 180 11. The measure of the seven angles in a nonagon measure 138°, 154°, 145°, 132°, 128°, 147°, and 130°. If the two remaining angles are equal in measure, what is the measure of each angle? 13. Find the value of x. (8-1180 (5-21180 540 12. Find the value of x. T,080 124 136° 87オIO3+133192 = 936 87° 141° 132 540-419 1,080-936 92 こ12 158° 129° 105 135° 116° 144 O Gina Wilson (All Things Algebra), 2014 I have performed the above approved community service Bright Futures Scholarship Award. Date Date Signature of Student Signature of Parent
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