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Interior angles, exterior angles

Total questions: 25

Worksheet time: 2hrs 14mins

Name
Class
Date
1.

What is the formula for the sum of interior angles in a polygon?

a)

(n2)×180°\left(n-2\right)\times180\degree

b)

(n2)×180°n\frac{\left(n-2\right)\times180\degree}{n}

c)

360

d)

360°n\frac{360\degree}{n}

2.

What is the formula for the sum of exterior angles in a polygon?

a)

(n2)×180°\left(n-2\right)\times180\degree

b)

(n2)×180°n\frac{\left(n-2\right)\times180\degree}{n}

c)

360°360\degree

d)

360°n\frac{360\degree}{n}

3.

What is the formula for an interior angle in a regular polygon?

a)

(n2)×180°\left(n-2\right)\times180\degree

b)

(n2)×180°n\frac{\left(n-2\right)\times180\degree}{n}

c)

360°360\degree

d)

360°n\frac{360\degree}{n}

4.

What is the formula for an exterior angle in a regular polygon?

a)

(n2)×180°\left(n-2\right)\times180\degree

b)

(n2)×180°n\frac{\left(n-2\right)\times180\degree}{n}

c)

360°360\degree

d)

360°n\frac{360\degree}{n}

5.

What is the sum of interior angles for a pentagon?

a)

900°900\degree

b)

540°540\degree

c)

360°360\degree

d)

108°108\degree

6.

What is the value of an interior angle for a regular pentagon?

a)

900°900\degree

b)

540°540\degree

c)

360°360\degree

d)

108°108\degree

7.

What is the value of an interior angle for a regular octagon?

a)

1440°1440\degree

b)

1080°1080\degree

c)

1800°1800\degree

d)

135°135\degree

8.

What is the sum of interior angles for an octagon?

a)

1440°1440\degree

b)

1080°1080\degree

c)

1800°1800\degree

d)

135°135\degree

9.

What is the value of an exterior angle for a regular pentagon?

a)

360°360\degree

b)

108°108\degree

c)

72°72\degree

d)

36°36\degree

10.
Find the angle sum of the interior angles of the polygon.
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
11.

Find the sum of the interior angles of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

12.
Find one interior angle in a heptagon
a)
128.57
b)
108
c)
120
d)
135
13.

The sum of interior angles in a regular nonagon is 1080°

a)

True

b)

False

14.

If an exterior angle of a regular polygon has a value of  36\degree , how many sides does it have?

a)

10

b)

3

c)

7

d)

11

15.

If an interior angle of a regular polygon has a value of  120\degree , how many sides does it have?

a)

6

b)

12

c)

5

d)

8

16.

Solve for x

a)

112°112\degree

b)

116°116\degree

c)

90°90\degree

d)

244°244\degree

17.

Find the value of angle x.

a)

105

b)

115

c)

65

d)

75

18.

Find the value of x

a)

75

b)

85

c)

100

d)

45

19.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

20.

Solve for b

a)

255°

b)

90°

c)

60°

d)

105°

21.
Solve for x
a)
27
b)
72
c)
80
d)
14
22.
Solve for x
a)
80
b)
110
c)
17
d)
60
23.
Solve for x
a)
94
b)
25
c)
36
d)
180
24.
Solve for x
a)
45
b)
12
c)
90
d)
2
25.
Find the value of X
a)
94
b)
25
c)
36
d)
180