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NAME
DATE
6 -1
PERIOD
Practice
Angles of Polygons
Find the sum of the measures of the interior angles of each convex polygon.
1. 11-gon
2. 14-gon
1620
3. 17-gon
2160
2700
The measure of an interior angle of a regular polygon is given. Find the
number of sides in the polygon.
4. 144
5. 156
10
6. 160
15
18
Find the measure of each interior angle.
J
7.
N
(2x + 15)°
(x + 15)°
(3x - 20)°
K
8.
3
4
(6x - 4)°
x°
(2x + 8)°
M
m∠J = 115, m∠K = 130,
m∠M = 50, m∠N = 65
(2x + 8)°
(6x - 4)°
5
m∠R = 128, m∠S = 52
m∠T = 128, m∠U = 52
Find the measures of an exterior angle and an interior angle given the number of
sides of each regular polygon. Round to the nearest tenth, if necessary.
9. 16
22.5, 157.5
12. 14
25.7, 154.3
10. 24
11. 30
15, 165
12, 168
13. 22
14. 40
16.4, 163.6
9, 171
15. CRYSTALLOGRAPHY Crystals are classified according to seven crystal systems. The
basis of the classification is the shapes of the faces of the crystal. Turquoise belongs to
the triclinic system. Each of the six faces of turquoise is in the shape of a parallelogram.
Find the sum of the measures of the interior angles of one such face.
360
Chapter 6
8
Glencoe Geometry
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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