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Interior and Exterior Angles of Polygons

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What is the SUM of the angle measures in a nonagon?

a)

1440°

b)

900°

c)

1080°

d)

1260°

2.

What is the measure of ONE interior angle in a regular pentagon ?

a)

90°

b)

108°

c)

120°

d)

180°

3.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
4.
Find the value of X
a)
94
b)
25
c)
36
d)
180
5.

What is the measure of each interior angle of a regular polygon?

a)

 (n2)180\left(n-2\right)180  

b)

 (n2)180n\frac{\left(n-2\right)180}{n}  

c)

 (n2)360n\frac{\left(n-2\right)360}{n}  

d)

 360n\frac{360}{n}  

6.

What is the measure of ONE interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

7.

What is the measure of ONE interior angle of a regular 20-gon?

a)

90

b)

146

c)

162

d)

122

8.
What is the sum of exterior angles of a pentagon?
a)
180
b)
360
c)
540
d)
760
9.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
10.

Solve for . a+ba+b  

a)

90°

b)

110°

c)

200°

d)

80°

11.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
12.
What is the measure of each exterior angle of a 20-gon?
a)
14°
b)
15°
c)
17°
d)
18°
13.

If an interior angle of a regular polygon measures 144°, how many sides does it have?

a)

8

b)

9

c)

10

14.

If an exterior angle of a regular polygon measures 15°, how many sides does it have?

a)

23

b)

24

c)

25

15.
Determine the measure of angle d.
a)
144°
b)
36°
c)
72°
d)
18°