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Vertical, Complementary, and Supplementary Angles

Learn How to Solve Complementary and Vertical Angles Problems

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Learn How to Solve Complementary and Vertical Angles Problems
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emily <3

@emilyt31809

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This lesson covers key concepts in geometry, focusing on complementary angles, supplementary angles, and vertical angles. It provides definitions and examples for solving problems involving these angle relationships. The content is designed to help students understand and apply these concepts in geometric calculations.

• Complementary angles are angles that add up to 90 degrees.
• Supplementary angles are angles that add up to 180 degrees.
• Vertical angles are opposite angles formed by intersecting lines and are always equal.
• The lesson includes step-by-step examples for solving equations involving these angle relationships.
• Understanding these concepts is crucial for more advanced geometry and trigonometry topics.

5/28/2023

74

Complementary Angle An angle(s) that join together to equal 10° 56° 6x +3 2x+²7 ZABC=630 M 3n-8. Example 1: Solve for x X = 34° 26-6=20° 40

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Supplementary Angles

This page focuses on supplementary angles, building upon the knowledge of complementary angles from the previous section. It provides a definition and examples of solving supplementary angles equations.

Definition: Supplementary angles are angles that join together to equal 180°.

The page presents two detailed examples to illustrate the process of solving problems involving supplementary angles.

Example: In Example 1, we solve for x given two angles that form a supplementary pair: x° and 117°. The equation 4x + 7 + 5x + 1 = 180 is solved step-by-step, resulting in x = 63°.

Example: Example 2 demonstrates solving for x in the equation 9x + 18 = 180. The solution process leads to x = 18.

These examples provide students with practical applications of the supplementary angle concept, reinforcing their understanding of angle relationships and algebraic problem-solving in geometry.

Complementary Angle An angle(s) that join together to equal 10° 56° 6x +3 2x+²7 ZABC=630 M 3n-8. Example 1: Solve for x X = 34° 26-6=20° 40

View

Vertical Angles

The final page introduces the concept of vertical angles, completing the trio of angle relationships covered in this lesson. This section is crucial for solving vertical angles equations and understanding their properties.

Definition: Vertical angles are angles that are equal to each other when two lines intersect.

Vocabulary: The term "congruent" is introduced, meaning equal in the context of geometry.

The page provides a visual representation of vertical angles, showing two pairs of vertical angles formed by intersecting lines. It illustrates that when two lines intersect, the opposite angles are always equal.

Example: An example is given to solve for x in a vertical angle scenario. While the full solution is not provided in the transcript, it demonstrates how to set up the equation using the property of vertical angles being equal.

Highlight: The key takeaway from this section is that vertical angles are always congruent (equal), which is a fundamental principle in geometry that students will use in more complex problems and proofs.

This concise yet informative page on vertical angles completes the lesson on angle relationships, providing students with a comprehensive understanding of complementary, supplementary, and vertical angles.

Complementary Angle An angle(s) that join together to equal 10° 56° 6x +3 2x+²7 ZABC=630 M 3n-8. Example 1: Solve for x X = 34° 26-6=20° 40

View

Complementary Angles

This page introduces the concept of complementary angles and provides examples of how to solve complementary angles problems. Complementary angles are defined as angles that add up to 90 degrees.

Definition: Complementary angles are angles that join together to equal 90°.

The page presents three examples to illustrate the process of solving for unknown angles in complementary angle problems.

Example: In Example 1, we solve for x when given that x° + 56° = 90°. The solution shows that x = 34°.

Example: Example 2 demonstrates solving for x in the equation 6x + 3 + 2x + 17 = 90. The step-by-step solution leads to x = 10.

Example: The third example involves finding the measure of ∠QNP using the equation 3n - 2 + n + 6 = 90. The solution process results in n = 26.

These examples showcase different scenarios and equation types that students might encounter when working with complementary angles, providing a solid foundation for understanding supplementary angles examples as well.

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SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

/

Geometry

/

Angles

/

Vertical, Complementary, and Supplementary Angles

Learn How to Solve Complementary and Vertical Angles Problems

user profile picture

emily <3

@emilyt31809

·

27 Followers

Follow

This lesson covers key concepts in geometry, focusing on complementary angles, supplementary angles, and vertical angles. It provides definitions and examples for solving problems involving these angle relationships. The content is designed to help students understand and apply these concepts in geometric calculations.

• Complementary angles are angles that add up to 90 degrees.
• Supplementary angles are angles that add up to 180 degrees.
• Vertical angles are opposite angles formed by intersecting lines and are always equal.
• The lesson includes step-by-step examples for solving equations involving these angle relationships.
• Understanding these concepts is crucial for more advanced geometry and trigonometry topics.

5/28/2023

74

 

7th

 

Geometry

10

Complementary Angle An angle(s) that join together to equal 10° 56° 6x +3 2x+²7 ZABC=630 M 3n-8. Example 1: Solve for x X = 34° 26-6=20° 40

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Supplementary Angles

This page focuses on supplementary angles, building upon the knowledge of complementary angles from the previous section. It provides a definition and examples of solving supplementary angles equations.

Definition: Supplementary angles are angles that join together to equal 180°.

The page presents two detailed examples to illustrate the process of solving problems involving supplementary angles.

Example: In Example 1, we solve for x given two angles that form a supplementary pair: x° and 117°. The equation 4x + 7 + 5x + 1 = 180 is solved step-by-step, resulting in x = 63°.

Example: Example 2 demonstrates solving for x in the equation 9x + 18 = 180. The solution process leads to x = 18.

These examples provide students with practical applications of the supplementary angle concept, reinforcing their understanding of angle relationships and algebraic problem-solving in geometry.

Complementary Angle An angle(s) that join together to equal 10° 56° 6x +3 2x+²7 ZABC=630 M 3n-8. Example 1: Solve for x X = 34° 26-6=20° 40

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Vertical Angles

The final page introduces the concept of vertical angles, completing the trio of angle relationships covered in this lesson. This section is crucial for solving vertical angles equations and understanding their properties.

Definition: Vertical angles are angles that are equal to each other when two lines intersect.

Vocabulary: The term "congruent" is introduced, meaning equal in the context of geometry.

The page provides a visual representation of vertical angles, showing two pairs of vertical angles formed by intersecting lines. It illustrates that when two lines intersect, the opposite angles are always equal.

Example: An example is given to solve for x in a vertical angle scenario. While the full solution is not provided in the transcript, it demonstrates how to set up the equation using the property of vertical angles being equal.

Highlight: The key takeaway from this section is that vertical angles are always congruent (equal), which is a fundamental principle in geometry that students will use in more complex problems and proofs.

This concise yet informative page on vertical angles completes the lesson on angle relationships, providing students with a comprehensive understanding of complementary, supplementary, and vertical angles.

Complementary Angle An angle(s) that join together to equal 10° 56° 6x +3 2x+²7 ZABC=630 M 3n-8. Example 1: Solve for x X = 34° 26-6=20° 40

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Complementary Angles

This page introduces the concept of complementary angles and provides examples of how to solve complementary angles problems. Complementary angles are defined as angles that add up to 90 degrees.

Definition: Complementary angles are angles that join together to equal 90°.

The page presents three examples to illustrate the process of solving for unknown angles in complementary angle problems.

Example: In Example 1, we solve for x when given that x° + 56° = 90°. The solution shows that x = 34°.

Example: Example 2 demonstrates solving for x in the equation 6x + 3 + 2x + 17 = 90. The step-by-step solution leads to x = 10.

Example: The third example involves finding the measure of ∠QNP using the equation 3n - 2 + n + 6 = 90. The solution process results in n = 26.

These examples showcase different scenarios and equation types that students might encounter when working with complementary angles, providing a solid foundation for understanding supplementary angles examples as well.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying