Angles Word Problems

**Page 1**

1.

Pick the two pairs of vertical angles.

a. | $\angle $2 and $\angle $4 | ||

b. | $\angle $1, $\angle $3 and $\angle $2, $\angle $4 | ||

c. | $\angle $1 and $\angle $3 | ||

d. | $\angle $4, $\angle $3 and $\angle $2, $\angle $1 |

Correct answer : (2)

2.

Find the measure of $\angle $$x$.

a. | 130 | ||

b. | 60 | ||

c. | 135 | ||

d. | 120 |

[Straight angle.]

[Subtract 45° from each side.]

The measure of

Correct answer : (3)

3.

UO and UT are opposite rays. What is the measure of $\angle $RUN?

a. | 100 ^{o} | ||

b. | 125 ^{o} | ||

c. | 120 ^{o} | ||

d. | None of the above |

[Since UO and UT are opposite rays.]

So,

32

[Substitute

[Subtract 98

[Substitute

Correct answer : (2)

4.

What are the measures of $\angle $$b$, $\angle $$c$ and $\angle $$d$, if $\angle $$a$ = 90^{o} in the figure?

a. | 90 ^{o}, 90^{o} and 90^{o} | ||

b. | 90 ^{o}, 30^{o} and 60^{o} | ||

c. | 40 ^{o}, 140^{o} and 40^{o} | ||

d. | None of the above |

[50

[Subtract 50

Sum of the angles forming linear pairs is 180

40

[Substitute

[Subtract 40

140

[Substitute

[Subtract 140

Correct answer : (3)

5.

What are the exterior angles in the figure?

a. | Ã1, Ã2, Ã11 and Ã12 | ||

b. | Ã1, Ã2, Ã8 and Ã7 | ||

c. | Ã11, Ã12, Ã3 and Ã4 | ||

d. | Ã2, Ã4, Ã11 and Ã9 |

From the figure,

Exterior angles in the figure are

Correct answer : (1)

6.

Find $m$$\angle $COD.

a. | 90° | ||

b. | 180° | ||

c. | 60° | ||

d. | 120° |

Correct answer : (4)

7.

Find $m$$\angle $AOC.

a. | 180° | ||

b. | 120° | ||

c. | 90° | ||

d. | 60° |

Correct answer : (3)

8.

Which two angles are adjacent?

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

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

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

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

Correct answer : (2)

9.

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

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

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

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

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

Correct answer : (3)

10.

What is $\angle $BOA, if $\angle $COA = 78° and $\angle $COB = 27° in the figure?

a. | 42° | ||

b. | 41° | ||

c. | 64° | ||

d. | 51° |

Correct answer : (4)