# Classifying Pairs of Angles

 Site: Saylor Academy Course: GKT101: General Knowledge for Teachers – Math Book: Classifying Pairs of Angles
 Printed by: Guest user Date: Monday, July 22, 2024, 9:43 PM

## Description

We can also classify angles based on their relationship to another angle. Vertical angles are congruent, supplementary angles add up to 180 degrees, and complementary angles add up to 90 degrees. Watch this lecture series to see the examples of different angle pairs. Complete the interactive exercises.

## Practice

### Name angles - Questions

1. What is a name for the marked angle?

(A) $\angle B A C$

(B) $\angle B A D$

(C) $\angle C A D$

(D) $\angle A D B$

2. Which angle refers to the same angle as $\angle D O F$?

3. What is a name for the marked angle?

(A) $\angle E A B$

(B) $\angle C A D$

(c) $\angle E A F$

(D) $\angle A F E$

4. Which angle refers to the same angle as $\angle G P B$?

1. A name for the angle is $\angle B A D$.

2. $\angle D O F$ names this angle:

3. A name for the angle is $\angle E A F$.

4. $\angle G P B$ names this angle:

### Identifying supplementary, complementary, and vertical angles - Questions

1. What is the relationship between $\angle a$ and $\angle b$?

(A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

2. What is the relationship between $\angle a$ and $\angle b$?

(A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

3. What is the relationship between $\angle a$ and $\angle b$?

(A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

4. What is the relationship between $\angle a$ and $\angle b$?

(A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

5. What is the relationship between $\angle a$ and $\angle b$?

(A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

6. What is the relationship between $\angle a$ and $\angle b$?

A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

7.  What is the relationship between $\angle a$ and $\angle b$ ?

(A) Vertical angles

(B) Complementary angles

(C) Supplementary angles

(D) None of the above

### Identifying supplementary, complementary, and vertical angles - Answers

1. Supplementary angles

2. None of the above

3. Vertical angles

4. Complementary angles

5. Supplementary angles

6. None of the above

7.  Vertical angles

### Complementary and supplementary angles (visual) - Questions

1. What is the measure of $\angle x$?

Angles are not necessarily drawn to scale.

$x= \text{______}^{\circ}$

2. What is the measure of $\angle x$?

Angles are not necessarily drawn to scale

$x= \text{______}^{\circ}$

3. What is the measure of $\angle x$?

Angles are not necessarily drawn to scale.

$x= \text{______}^{\circ}$

4.
What is the measure of $\angle x$?

Angles are not necessarily drawn to scale.

$x=$ ______ $^{\circ}$

### Complementary and supplementary angles (visual) - Answers

1. $x=74^{\circ}$

2. $x=37^{\circ}$

3. $x=132^{\circ}$

4. $x=58^{\circ}$

### Complementary and supplementary angles (no visual) - Questions

1. $\angle x$ and $\angle y$ are supplementary angles. $\angle y$ measures $88^{\circ}$.

What is the measure of $\angle x$?

$x=$______$^{\circ}$

2. $\angle a$ and $\angle b$ are complementary angles. $\angle a$ measures $32^{\circ}$.

What is the measure of $\angle b$?

$x=$______$^{\circ}$

3. $\angle x$ and $\angle y$ are supplementary angles. $\angle y$ measures $97^{\circ}$.

What is the measure of $\angle x$?

$x=$______$^{\circ}$

4. $\angle a$ and $\angle b$ are complementary angles. $\angle a$ measures $44^{\circ}$.

What is the measure of $\angle b$?

$x=$______$^{\circ}$

5. $\angle x$ and $\angle y$ are supplementary angles. $\angle y$ measures $33^{\circ}$.

What is the measure of $\angle x$?

$x=$______$^{\circ}$

6. $\angle a$ and $\angle b$ are complementary angles. $\angle a$ measures $64^{\circ}.$

What is the measure of $\angle b$?

$x=$______$^{\circ}$

7.  $\angle x$ and $\angle y$ are supplementary angles. $\angle y$ measures $49^{\circ} .$

What is the measure of $\angle x$ ?

$x=$______$^{\circ}$

### Complementary and supplementary angles (no visual) - Answers

1. $\angle x=92^{\circ}$

2. $\angle b=58^{\circ}$

3. $\angle x=83^{\circ}$

4. $\angle b=46^{\circ}$

5. $\angle x=147^{\circ}$

6. $\angle b=26^{\circ}$

7. $\angle x=131^{\circ}$

### Vertical angles - Questions

1. Is $x$ greater than, less than, or equal to $43^{\circ}$?

(A) $x > 43^{\circ}$

(B) $x < 43^{\circ}$

(C) $x=43^{\circ}$

2. Is $x$ greater than, less than, or equal to $139^{\circ}$ ?

(A) $x > 139^{\circ}$

(B) $x < 139^{\circ}$

(C) $x=139^{\circ}$

3. Is $x$ greater than, less than, or equal to $73^{\circ}$?

(A) $x > 73^{\circ}$

(B) $x < 73^{\circ}$

(C) $x=73^{\circ}$

4. Is $x$ greater than, less than, or equal to $43^{\circ}$?

(A) $x > 43^{\circ}$

(B) $x < 43^{\circ}$

(C) $x=43^{\circ}$

1. $x=43^{\circ}$

2. $x=139^{\circ}$

3. $x < 73^{\circ}$

4. $x > 43^{\circ}$

### Finding angle measures between intersecting lines - Questions

1.

NOTE: Angles not necessarily drawn to scale.

$x=$ _____$^{\circ}$

2.

NOTE: Angles not necessarily drawn to scale.

$x=$ _____$^{\circ}$

3.

NOTE: Angles not necessarily drawn to scale.

$x=$ _____$^{\circ}$

4.

NOTE: Angles not necessarily drawn to scale.

$x=$ _____$^{\circ}$

### Finding angle measures between intersecting lines - Answers

1. $x=45^{\circ}$

2. $x=68^{\circ}$

3. $x=56^{\circ}$

4. $150^{\circ}=x$