Classifying Pairs of Angles
Site: | Saylor Academy |
Course: | GKT101: General Knowledge for Teachers – Math |
Book: | Classifying Pairs of Angles |
Printed by: | Guest user |
Date: | Tuesday, May 13, 2025, 11:29 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.
Table of contents
- Angles: introduction
- Complementary & supplementary angles
- Vertical angles
- Practice
- Name angles - Questions
- Name angles - Answers
- Identifying supplementary, complementary, and vertical angles - Questions
- Identifying supplementary, complementary, and vertical angles - Answers
- Complementary and supplementary angles (visual) - Questions
- Complementary and supplementary angles (visual) - Answers
- Complementary and supplementary angles (no visual) - Questions
- Complementary and supplementary angles (no visual) - Answers
- Vertical angles - Questions
- Vertical angles - Answers
- Finding angle measures between intersecting lines - Questions
- Finding angle measures between intersecting lines - Answers
Angles: introduction
Source: Khan Academy, https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
Complementary & supplementary angles
Vertical angles
Practice
Name angles - Questions
1. What is a name for the marked angle?
Choose 1 answer:
(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 \(\angle D O F\)?
Choose 1 answer:
3. What is a name for the marked angle?
Choose 1 answer:
(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 \(\angle G P B\)?
Choose 1 answer:
Name angles - Answers
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 \(\angle b\)?Choose 1 answer:
(A) Vertical angles
(B) Complementary angles
(C) Supplementary angles
(D) None of the above
2. What is the relationship between \(\angle a\) and \(\angle b\)?Choose 1 answer:
(A) Vertical angles
(B) Complementary angles
(C) Supplementary angles
(D) None of the above
3. What is the relationship between \(\angle a\) and \(\angle b\)?Choose 1 answer:
(A) Vertical angles
(B) Complementary angles
(C) Supplementary angles
(D) None of the above
4. What is the relationship between \(\angle a\) and \(\angle b\)?Choose 1 answer:
(A) Vertical angles
(B) Complementary angles
(C) Supplementary angles
(D) None of the above
Choose 1 answer:
(A) Vertical angles
(B) Complementary angles
(C) Supplementary angles
(D) None of the above
6. What is the relationship between \(\angle a\) and \(\angle b\)?Choose 1 answer:
A) Vertical angles
(B) Complementary angles
(C) Supplementary angles
(D) None of the above
7. What is the relationship between \(\angle a\) and \(\angle b\) ?
Choose 1 answer:
(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.
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 \(43^{\circ}\)?
Choose 1 answer:
(A) \(x > 43^{\circ}\)
(B) \(x < 43^{\circ}\)
(C) \(x=43^{\circ}\)
2. Is \(x\) greater than, less than, or equal to \(139^{\circ}\) ?
Choose 1 answer:
(A) \(x > 139^{\circ}\)
(B) \(x < 139^{\circ}\)
(C) \(x=139^{\circ}\)
3. Is \(x\) greater than, less than, or equal to \(73^{\circ}\)?
Choose 1 answer:
(A) \(x > 73^{\circ}\)
(B) \(x < 73^{\circ}\)
(C) \(x=73^{\circ}\)
4. Is \(x\) greater than, less than, or equal to \(43^{\circ}\)?
Choose 1 answer:
(A) \(x > 43^{\circ}\)
(B) \(x < 43^{\circ}\)
(C) \(x=43^{\circ}\)
Vertical angles - Answers
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. \(150^{\circ}=x\)