Properties of Special Angles Worksheet

**Page 1**

1.

a. | 33 ^{o} | ||

b. | 78 ^{o} | ||

c. | 147 ^{o} | ||

d. | None of the above |

[Measures of vertical angles are equal.]

m

So, m

Correct answer : (1)

2.

Lines AB and CD intersect at point O. Which of the following statements is/are always correct?

1.$\angle $AOC $\cong $ $\angle $DOB

2.m$\angle $COB = m$\angle $AOD

3.m$\angle $AOD + m$\angle $AOC = 180^{o}

1.

2.

3.

a. | 1 only | ||

b. | 2 and 3 only | ||

c. | 1, 2 and 3 | ||

d. | 2 only |

[Vertically opposite angles are congruent.]

m

[Vertically opposite angles are congruent.]

The angles

So, sum of their measures is 180

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 |

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. | $\angle $AOE and $\angle $BOC | ||

b. | $\angle $AOB and $\angle $COD | ||

c. | $\angle $AOB and $\angle $BOC | ||

d. | $\angle $AOB and $\angle $EOD |

In the figure,

So, among the choices

Correct answer : (3)

5.

Which two angles are adjacent?

a. | $\angle $AOC and $\angle $BOD | ||

b. | $\angle $AOB and $\angle $BOA | ||

c. | $\angle $AOB and $\angle $BOD | ||

d. | $\angle $AOB and $\angle $COD |

In the figure,

So, among the choices

Correct answer : (3)

6.

Identify the pair of angles that are vertical to each other.

a. | $\angle $AOB and $\angle $DOC | ||

b. | $\angle $AOC and $\angle $COB | ||

c. | $\angle $AOD and $\angle $AOC | ||

d. | $\angle $AOC and $\angle $DOB |

Correct answer : (4)

7.

Choose the pair of angles that are adjacent to each other.

a. | $\angle $SWV and $\angle $VWS | ||

b. | $\angle $SWV and $\angle $UWT | ||

c. | $\angle $SWV and $\angle $VWU | ||

d. | $\angle $VWU and $\angle $SWT |

In the figure,

So, among the choices

Correct answer : (3)

8.

Choose the pair of angles that are supplementary to each other.

a. | $\angle $AOD and $\angle $COB | ||

b. | $\angle $AOD and $\angle $DOB | ||

c. | $\angle $AOC and $\angle $DOB | ||

d. | $\angle $AOD and $\angle $DOA |

Among the choices,

Correct answer : (2)

9.

Identify the pair of angles that are adjacent to each other.

a. | $\angle $MQN and $\angle $MQO | ||

b. | $\angle $MQN and $\angle $OQP | ||

c. | $\angle $MQN and $\angle $MQP | ||

d. | $\angle $MQN and $\angle $NQO |

In the figure,

So, among the choices

Correct answer : (4)

10.

Choose the pair of angles that are supplementary to each other.

a. | $\angle $AOC and $\angle $COA | ||

b. | $\angle $AOC and $\angle $COD | ||

c. | $\angle $AOC and $\angle $COB | ||

d. | $\angle $AOB and $\angle $COD |

Among the choices,

Correct answer : (2)