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Properties of Special Angles Worksheet

Properties of Special Angles Worksheet
  • Page 1
 1.  
A and B are vertical angles. If mA = 33o, then what is mB?
a.
33o
b.
78o
c.
147o
d.
None of the above


Solution:

mA = mB
[Measures of vertical angles are equal.]

mA = 33o

So, mB = 33o


Correct answer : (1)
 2.  
Lines AB and CD intersect at point O. Which of the following statements is/are always correct?

1. AOC DOB

2. mCOB = mAOD

3. mAOD + mAOC = 180o


a.
1 only
b.
2 and 3 only
c.
1, 2 and 3
d.
2 only


Solution:

AOC and DOB are congruent.
[Vertically opposite angles are congruent.]

mCOB = mAOD
[Vertically opposite angles are congruent.]

The angles AOD and AOC are linear pair of angles.

So, sum of their measures is 180o.

So, all the three statements are correct.


Correct answer : (3)
 3.  
Identify the figure in which the pairs of angles are not supplementary.


a.
Figure 1 only
b.
Figure 2 only
c.
Figure 3 only
d.
Figure 1 and Figure 2


Solution:

Two angles are said to be supplementary, if the sum of their measures is 180°.

In figures 1 and 2, the sum of the measures of the angles is not equal to 180°.

So, they are not supplementary angles.


Correct answer : (4)
 4.  
Which two angles are adjacent?


a.
AOE and BOC
b.
AOB and COD
c.
AOB and BOC
d.
AOB and EOD


Solution:

The angles sharing a common side are called as adjacent angles.

In the figure, AOB and BOC, BOC and COD, COD and DOE, DOE and EOA, and EOA and AOB are the angles sharing a common side.

So, among the choices AOB and BOC are the adjacent angles in the figure.


Correct answer : (3)
 5.  
Which two angles are adjacent?


a.
AOC and BOD
b.
AOB and BOA
c.
AOB and BOD
d.
AOB and COD


Solution:

The angles sharing a common side are called as adjacent angles.

In the figure, AOB and BOD, BOD and DOC, DOC and COA, and COA and AOB are the angles sharing a common side.

So, among the choices AOB and BOD are the adjacent angles in the figure.


Correct answer : (3)
 6.  
Identify the pair of angles that are vertical to each other.


a.
AOB and DOC
b.
AOC and COB
c.
AOD and AOC
d.
AOC and DOB


Solution:

Angles that are opposite to one another at the intersection of two lines are called vertical angles.

AOD and COB are the vertical pair.


Correct answer : (4)
 7.  
Choose the pair of angles that are adjacent to each other.


a.
SWV and VWS
b.
SWV and UWT
c.
SWV and VWU
d.
VWU and SWT


Solution:

The angles sharing a common side are called as adjacent angles.

In the figure, SWV and VWU, VWU and UWT, UWT and TWS, and TWS and SWV are the angles sharing a common side.

So, among the choices SWV and VWU are the adjacent angles in the figure.


Correct answer : (3)
 8.  
Choose the pair of angles that are supplementary to each other.


a.
AOD and COB
b.
AOD and DOB
c.
AOC and DOB
d.
AOD and DOA


Solution:

Two angles are called supplementary angles if the sum of their degree measurements is equal to 180°.

Among the choices, AOD and DOB are the supplementary angles.


Correct answer : (2)
 9.  
Identify the pair of angles that are adjacent to each other.


a.
MQN and MQO
b.
MQN and OQP
c.
MQN and MQP
d.
MQN and NQO


Solution:

The angles sharing a common side are called as adjacent angles.

In the figure, MQN and NQO, NQO and OQP are the angles sharing a common side.

So, among the choices MQN and NQO are the adjacent angles in the figure.


Correct answer : (4)
 10.  
Choose the pair of angles that are supplementary to each other.


a.
AOC and COA
b.
AOC and COD
c.
AOC and COB
d.
AOB and COD


Solution:

Two angles are called supplementary angles if the sum of their degree measurements is equal to 180°.

Among the choices, AOC and COD are the supplementary angles.


Correct answer : (2)

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