Part I: Angles of Polygons 1. What is the sum of the degrees of the interior angles of a 19-gon? 1. 2. 2. If the sum of the interior angles of a polygon is 1800°, how many sides does it have? 3. 3. What is the measure of an interior angle of a regular nonagon? 4. 5. 4. What is the sum of the exterior angles of a 25-gon? 5. What is the the measure of each exterior angle of a regular decagon?

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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Part I: Angles of Polygons
1. What is the sum of the degrees of the interior angles of a 19-gon?
1.
2.
2. If the sum of the interior angles of a polygon is 1800°, how many
sides does it have?
3. What is the measure of an interior angle of a regular nonagon?
4.
5.
4. What is the sum of the exterior angles of a 25-gon?
5. What is the the measure of each exterior angle of a regular decagon?
Directions: Find the value of x.
95
6. x = .
7. x =
145
133
(7x - 4)
140
117
(3x + 23)
119
(9x -6)
125
14 6
9. x =
Given: The figure
above is a regular
polygon.
8. x =
(3r + 6)
(6x - 5)
(7x - 11
(4r + 7)
62
(16x + 23)°
Part II: Parallelograms
10. Given JM = 27, ML = 16, JL = 46, NK = 15, MZKLM = 48°, mZJKM = 78°, and MZMJL = 22°,
find each missing value.
KL =
MZJKL =
K
JK
m/KLJ =
MK =
m/KMJ =
%3D
NL =
m/KJL =
%3D
M
AL Thines Aleebral, 2014
3.
Transcribed Image Text:Part I: Angles of Polygons 1. What is the sum of the degrees of the interior angles of a 19-gon? 1. 2. 2. If the sum of the interior angles of a polygon is 1800°, how many sides does it have? 3. What is the measure of an interior angle of a regular nonagon? 4. 5. 4. What is the sum of the exterior angles of a 25-gon? 5. What is the the measure of each exterior angle of a regular decagon? Directions: Find the value of x. 95 6. x = . 7. x = 145 133 (7x - 4) 140 117 (3x + 23) 119 (9x -6) 125 14 6 9. x = Given: The figure above is a regular polygon. 8. x = (3r + 6) (6x - 5) (7x - 11 (4r + 7) 62 (16x + 23)° Part II: Parallelograms 10. Given JM = 27, ML = 16, JL = 46, NK = 15, MZKLM = 48°, mZJKM = 78°, and MZMJL = 22°, find each missing value. KL = MZJKL = K JK m/KLJ = MK = m/KMJ = %3D NL = m/KJL = %3D M AL Thines Aleebral, 2014 3.
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