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Polygon Angles Practice for my Wonderful Geometry Students

Total questions: 50

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

What is the sum of the angle measures in a hexagon?

a)

720°

b)

1080°

c)

600°

d)

540°

2.

What is the sum of the angle measures in a triangle?

a)

60°

b)

90°

c)

120°

d)

180°

3.

What is the sum of the interior angles for a 24-gon?

a)

3960

b)

360

c)

15

d)

4280

4.

Find the value of x.

a)

100

b)

120

c)

125

d)

130

5.

Find the value of x.

a)

100°

b)

110°

c)

150°

d)

168°

6.

Find the value of x.

a)

94

b)

25

c)

36

d)

180

7.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

8.

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

a)

90°

b)

108°

c)

120°

d)

180°

9.

What is the measure of one interior angle in a regular hexagon?

a)

60°

b)

80°

c)

108°

d)

120°

10.

Find the angle sum of the interior angles of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

11.

What is the name of a 7 sided polygon?

a)

hexagon

b)

heptagon

c)

octagon

d)

nonagon

12.

Find the missing angle.

a)

75

b)

85

c)

100

d)

45

13.

Find the value of b.

a)

75 degrees

b)

20 degrees

c)

30 degrees

d)

55 degrees

14.

Given the sum of interior angles is 2520, what is the measure of 1 INTERIOR angle of a 16-gon? (ACT)

a)

2520

b)

2880

c)

180

d)

157.5

15.

Calculate the sum of the interior angle measures of a polygon with 25 sides.

a)

360 degrees

b)

4500 degrees

c)

335 degrees

d)

4140 degrees

16.

Find the value of x.

a)

87°

b)

54°

c)

101°

d)

92°

17.

Find the value of x.

a)

141

b)

150

c)

135

d)

163

18.

The sum of the interior angles in a polygon is 3,240o. How many sides are in the polygon?

a)

10

b)

582,840

c)

18

d)

20

19.

Find the number of sides of a polygon with one exterior angle measuring 6⁰.

a)

60

b)

30

c)

20

d)

10

20.

Find the value of x.

a)

60

b)

120

c)

85

d)

55

21.

Three of the angles in a quadrilateral have a sum of 252o. What is the measure of the fourth angle?

a)

108o

b)

360o

c)

72o

d)

56o

22.

An exterior angle in a regular polygon has a measure of 18o. What is the sum of the interior angles in this polygon?

a)

180o

b)

3,240o

c)

1,440o

d)

360o

23.

What is the measure of one interior angle in a regular triangle?

a)

15°

b)

30°

c)

60°

d)

90°

24.

Determine the measure of one exterior angle in a regular octagon.

a)

135°

b)

45°

c)

360°

d)

1080°

25.

What is the sum of the exterior angles in a decagon?

a)

10

b)

360

c)

36

d)

1440

26.

What is the sum of the angle measures in a 35-gon?

a)

180°

b)

5940°

c)

1080°

d)

169.71°

27.

Find the measure of one exterior angle of a regular 18-gon.

a)

160°

b)

360°

c)

20°

d)

2280°

28.

Solve for x.

a)

90

b)

144

c)

124

d)

170

29.

Find the measure of the missing angle.

a)

90o

b)

100

c)

130o

d)

50o

30.
Convex or Concave?
a)
Convex
b)
Concave
31.
Convex or Concave?
a)
Convex
b)
Concave
32.

What kind of shape is this?

a)

Convex heptagon

b)

Concave heptagon

c)

Convex hexagon

d)

Convex hexagon

33.

What is the measure of one interior angle of a regular 45-gon?

a)

180°

b)

360°

c)

172°

d)

93°

34.

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

a)

S=360

b)

S=(n-2)180

c)

n=360/ext. angle

d)

1 int. angle + 1 ext. angle=180

35.

Calculate the sum of the interior angle measures of a polygon with 16 sides.

a)

2880 degrees

b)

2520 degrees

c)

344 degrees

d)

360 degrees

36.

Five angles of a hexagon measure 119°, 129°, 104°, 149°, and 95°. What is the measure of the sixth angle?

a)

89

b)

105

c)

720

d)

124

37.

What is the sum of the exterior angles of any polygon?

a)

360/n

b)

S = (n-2)360

c)

S = (n-2)180

d)

360

38.

What is the measure of each exterior angle of a 20-gon?

a)

14°

b)

15°

c)

17°

d)

18°

39.

What is the measure of one interior angle of a 22-gon?

a)

163.6

b)

170.5

c)

155.3

d)

140.5

40.

Which formula represents one exterior angle?

a)

360

b)

360/n

c)

(n-2)180

d)

(n-2)180/n

41.

Which formula represents one interior angle?

a)

360/n

b)

360

c)

(n-2)180

d)

(n-2)180/n

42.

What is the definition of a regular polygon?

a)

polygon has all angles equal and all sides equal

b)

polygon that has different angles and sides

c)

a polygon with a "cave" inside of it

d)

a polygon with stretched sides.

43.

What do the sum of the interior angles of a quadrilateral equal?

a)

180

b)

540

c)

90

d)

360

44.

Solve for y.

a)

125

b)

200

c)

100

d)

50

45.

What is the measure of one exterior angle in a regular hexagon?

a)

60°

b)

80°

c)

108°

d)

120°

46.
Find the value of the variable(s).
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
47.
Find the value of the variable(s).
a)
x = 50, y = 69
b)
x = 100, y = 50
c)
x = 100, y = 69
d)
x = 50, y = 50
48.
Solve of X
a)
80
b)
110
c)
17
d)
60
49.

Solve for x

a)

45

b)

12

c)

90

d)

2

50.
Solve for x
a)
27
b)
72
c)
80
d)
14

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