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Mrs. Danvers Unit 10: Arcs and Angle Relationships in Circles

Total questions: 27

Worksheet time: 47mins

Name
Class
Date
1.

Find the measure of the missing inscribed angle, x.

a)

30º

b)

60º

c)

120º

d)

15º

2.

Find the measure of the missing angle.

a)

65º

b)

115º

c)

360º

d)

180º

3.

Find the measure of the missing angle.

a)

40º

b)

80º

c)

160º

d)

100º

4.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
5.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
6.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
7.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
8.
An angle whose measure is exactly 90 degrees.
a)
acute
b)
vertical
c)
right
d)
straight
9.
Solve for x.
a)
16
b)
11
c)
50
d)
6
10.
If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
11.
What do the angles in an equilateral triangle measure?
a)
30, 60, 90
b)
45, 45, 90
c)
60, 60, 60
d)
35, 55, 90
12.

Which pair of angles is an example of alternate interior angles?

a)

1 and 8\angle1\ and\ \angle8  

b)

3 and 7\angle3\ and\ \angle7  

c)

4 and 5\angle4\ and\ \angle5  

d)

2 and 5\angle2\ and\ \angle5  

13.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
14.

How many degrees does a circle have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

15.

How many degrees does a major arc have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

16.

How many degrees does a semicircle have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

17.

How many degrees does a minor arc have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

18.

Check all that is true about the Arcs in the circle

a)

XB is a Major Arc

b)

XAY is a semicircle

c)

XYA is a Major Arc

d)

XB is a semicircle

19.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
20.

How many degrees does a circle have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

21.

How many degrees does a major arc have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

22.

How many degrees does a semicircle have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

23.

How many degrees does a minor arc have?

a)

less than 180

b)

equal to 180

c)

more than 180

d)

360

24.

Check all that is true about the Arcs in the circle

a)

XB is a Major Arc

b)

XAY is a semicircle

c)

XYA is a Major Arc

d)

XB is a semicircle

25.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
26.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

27.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153