Download Skills Practice Angles of Polygons

NAME
DATE
6-1
PERIOD
Skills Practice
Angles of Polygons
Find the sum of the measures of the interior angles of each convex polygon.
1. nonagon
2. heptagon
3. decagon
The measure of an interior angle of a regular polygon is given. Find the
number of sides in the polygon.
4. 108
5. 120
6. 150
Find the measure of each interior angle.
A
7.
9.
8. L (2x + 20)°
B
P
C
4
(2x + 16)°
(x + 14)°
8
(3x - 10)°
10.
5
M
(2x - 10)°
(2x)°
(2x - 15)°
x°
D
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
x°
(2x - 15)°
N
%
(2x + 16)°
&
(7x)° (7x)°
* (4x)°
(x + 14)°
6
(7x)°
)
(4x)° '
(7x)°
(
Find the measures of each interior angle of each regular polygon.
11. quadrilateral
12. pentagon
13. dodecagon
Find the measures of each exterior angle of each regular polygon.
14. octagon
Chapter 6
15. nonagon
16. 12-gon
71
Glencoe Geometry
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
3. 17-gon
The measure of an interior angle of a regular polygon is given. Find the
number of sides in the polygon.
4. 144
5. 156
6. 160
Find the measure of each interior angle.
J
7.
(2x + 15)°
(3x - 20)°
K
8.
4
3
(6x - 4)°
N
(x + 15)°
x°
(2x + 8)°
M
(2x + 8)°
(6x - 4)°
5
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
10. 24
11. 30
12. 14
13. 22
14. 40
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.
Chapter 6
72
Glencoe Geometry
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6