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WorksheetsAngles of Polygons
Total questions: 30
Worksheet time: 3580secs
Name
Class
Date
1.
Find the measure of angle x
a)
114
b)
134
c)
110
d)
720
2.
Find the measure of angle x
a)
68
b)
98
c)
58
d)
108
3.
What is the sum of interior angles for a 15-gon?
a)
2340
b)
6704
c)
360
d)
2440
4.
Find the measure of all the missing angles
a)
y=45, x=45
b)
y=60, x=75
c)
y=90, x=32
d)
y=55 x=34
5.
What is the formula used to find the sum of interior angles in a polygon?
a)
180(n-2)/2
b)
180(n-n)
c)
180(n-5)
d)
180(n-2)
6.
The 3rd grade students of Mrs. Robert's class are playing duck-duck-goose outside for field day. Each student is sitting 157.7° apart. How many students from Mrs. Robert's class are participating in the duck-duck-goose event? Round to the nearest whole number.
a)
15
b)
16
c)
17
d)
18
7.
What is the measure of ∠X in this pentagon?
a)
115
b)
125
c)
124
d)
100
8.
What is the measure of ∠X in this pentagon?
a)
115
b)
125
c)
124
d)
100
9.
What is the sum of exterior angles for a decagon?
a)
180°
b)
360°
c)
1440°
d)
1800°
10.
What is the measure of an interior angle of a regular dodecagon?
a)
150
b)
30
c)
120
d)
180
11.
What is the measure of x in this hexagon?
a)
160
b)
120
c)
113
d)
110
12.
Tohani is entering a teepee-building competition and wants to make an unique, rectangular pyramid-like teepee to win for his tribe. Since he is only given one pole to make a typical teepee, he divides the pole into 8 equal pieces: one for each edge. Considering this fact, how many angles apart should the sides of the triangular part of the pyramid be in order for the poles fit perfectly?
a)
30°
b)
60°
c)
90°
d)
180°
13.
How many angles does a dodecagon have?
a)
12
b)
10
c)
15
d)
20
14.
What is the measure of x?
a)
-45
b)
-5
c)
5
d)
9
15.
Find the measure of angle x
a)
79
b)
197
c)
360
d)
58
16.
What is the formula to find an exterior angle of a polygons?
a)
180(n/2)
b)
360/n
c)
360-n/180
d)
360
17.
Find the value of x.
a)
20
b)
25
c)
24
d)
21
18.
Find the value of y
a)
135
b)
125
c)
115
d)
105
19.
If each interior angle of a regular polygon is 135 degrees, what is the name of the polygon?
a)
pentagon
b)
hexagon
c)
heptagon
d)
octagon
20.
Six angles of a convex octagon is congruent. Each of the two remaining angles is 20 degrees more than one of the other six angles. Find the measure of EACH angle.
a)
120°
b)
150°
c)
130°, 150°
d)
120°, 130°
21.
The sum of interior angles of a convex polygon is 9 times the measure of an exterior angle of a regular hexagon. What is the name of the polygon?
a)
pentagon
b)
hexagon
c)
heptagon
d)
octagon
22.
What is the measure of each interior angle for a regular 20-gon?
a)
154°
b)
162°
c)
163°
d)
178°
23.
Find the measure of angle E.
a)
120
b)
110
c)
100
d)
90
24.
If the m<ACD = 48, find the m<B.
a)
24
b)
33
c)
48
d)
66
25.
Find the measure of angle x.
a)
540
b)
442
c)
982
d)
98
26.
Four interior angles of a pentagon have the following measures: 95°, 100°, 90°, and 80°. Find the measure of the fifth angle.
a)
125°
b)
150°
c)
175°
d)
200°
27.
If each interior angle of a regular polygon is 165°, how many sides does it have?
a)
22 sides
b)
23 sides
c)
24 sides
d)
25 sides
28.
What is the name of the polygon that has 8 sides?
a)
hexagon
b)
heptagon
c)
octagon
d)
octopus
29.
The measure of the second angle of a polygon is twice the measure of the first angle. The measure of each of the other three angles is three times the measure of the first. What are the measures of each angle?
a)
50°, 100°, 30°
b)
45°,90°, 135°
c)
45°,90°, 140°
d)
45°, 90°, 180°
30.
A triangle has the following known angles: 45, 45, and x. What is the measure of angle?
a)
45
b)
30
c)
60
d)
90
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