Download Area9b.1 Practice

Area 9
Angles of Polygons
Name _____________________
Worksheet
I. Fill in the blank with the correct term or phase.
1.
An angle which forms a linear pair with an interior angle of a polygon is called an
_____________ angle.
2.
A polygon which is both equilateral and equiangular is a ______________ polygon.
3.
A segment that joins two non-consecutive vertices of a polygon is a __________________.
4.
The measure of an exterior angle of a triangle is equal to the sum of the measures of its
___________________________________.
5.
Each angle of an equiangular triangle has a measure of _______________.
6.
An interior angle of any polygon and its adjacent exterior angle are always ____________.
7.
An exterior angle of a polygon is (always, sometimes, never) smaller than its adjacent
interior angle.
II. Solve the following problems. Must show all work!
____________ 8. Find the sum of the exterior angles of a convex heptagon.
____________ 9. Find the sum of the interior angles of nonagon.
____________ 10. The measure of each exterior angle of a regular polygon is 45. Name the
polygon.
____________ 11. One interior angle of a regular polygon is 162. Find the number of sides.
____________ 12. The sum of the interior angles of a polygon equals 3240. Find the number of
sides.
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Area 9
____________ 13. Find the measure of one interior angle of a regular undecagon.
____________ 14. The measure of each interior angle of a regular polygon is eleven times that
of an exterior angle. How many sides are in the polygon?
III. Find the value of each variable in the following problems.
15.
16.
w° x°
46°
17.
18.
2h°
2h°
n
19.
154
143
20.
(z – 13)° w
x
(z + 10)
2x°
y°
z
120°
(2x  5)°
(3x  25)°
2x°
60
(n + 6)°
133
h°
y
85°
112° (z + 15)°
h°
21.
100°
y°
h° (h – 28)°
22.
Given that ABCDEFGH
is a regular octagon and
CDJK is a square.
(2y – 1)°
A
B
H
x°
C
G
D
F
K
J
E
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Area 9
Answers
1.
An angle which forms a linear pair with an interior angle of a polygon is called an
exterior
angle.
regular polygon.
2.
A polygon which is both equilateral and equiangular is a
3.
A segment that joins two non-consecutive vertices of a polygon is a
4.
The measure of an exterior angle of a triangle is equal to the sum of the measures of its
5.
Each angle of an equiangular triangle has a measure of
6.
An interior angle of any polygon and its adjacent exterior angle are always supplementary.
7.
An exterior angle of a polygon is
diagonal.
remote interior angles.
60°.
sometimes smaller than its adjacent
interior angle.
8. 360°
9. 1260°
10. octagon
12. 20
13. 147.27°
14. 24
15. x = 67, w = 113
17. 60
16. z = 53, y = 107
18. n = 112
20. h = 104, y =35
11. 20
19. z = 121, y = 59, x = 49, w = 72
21. x = 50
22. x = 22.5
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