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Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Examples, solutions, worksheets, videos, and lessons to help Grade 7 students learn how to use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Common Core: 7.G.5

### Suggested Learning Targets

**Angle Relationships 1 (7.G.5)**

Complementary angles are adjacent angles that form a right angle (add to 90°).

Supplementary angles are adjacent angles that form a straight line (add to 180°).

When 2 lines cross to form 4 angles, the angles opposite from each other are vertical angles (and have equal measures).

**7.G.5 Adjacent & Vertical Angles**

Adjacent angles: angles that share a common side and have the same vertex.

Vertical angles: opposite angles formed by the intersection of 2 lines. They are congruent angles.

Congruent angles; Angles that have the same measure.

Examples:

1. Name a pair of adjacent angles.

2. Name a pair of vertical angles.

3. Tell whether the angles are adjacent or vertical. Then find the value of x.

3. Draw a pair of vertical angles with a measure of 40°.**7.G.5 Complementary & Supplementary Angles**

Complementary angles: 2 angles whose sum is 90 degrees.

Supplementary angles: 2 angles whose sum is 180 degrees.

Examples:

1. Tell whether the angles are complementary, supplementary, or neither.

2. Tell whether the angles are complementary or supplementary. Then find the value of x.

3. Draw a pair of adjacent supplementary angles so that one angle has a measure of 60°.**Special Angles**

This video explains complementary, supplementary, and vertical angles.**Complementary, Supplementary, and Vertical Angles**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Common Core: 7.G.5

- I can recognize and identify types of angles such as supplementary, complimentary, vertical, and adjacent.
- I can use facts about angle relationships (supplementary, complimentary, vertical, and adjacent) to determine the measure of unknown angles.
- I can use facts about angle relationships (supplementary, complimentary, vertical, and adjacent) to solve simple equations.

Complementary angles are adjacent angles that form a right angle (add to 90°).

Supplementary angles are adjacent angles that form a straight line (add to 180°).

When 2 lines cross to form 4 angles, the angles opposite from each other are vertical angles (and have equal measures).

Adjacent angles: angles that share a common side and have the same vertex.

Vertical angles: opposite angles formed by the intersection of 2 lines. They are congruent angles.

Congruent angles; Angles that have the same measure.

Examples:

1. Name a pair of adjacent angles.

2. Name a pair of vertical angles.

3. Tell whether the angles are adjacent or vertical. Then find the value of x.

3. Draw a pair of vertical angles with a measure of 40°.

Complementary angles: 2 angles whose sum is 90 degrees.

Supplementary angles: 2 angles whose sum is 180 degrees.

Examples:

1. Tell whether the angles are complementary, supplementary, or neither.

2. Tell whether the angles are complementary or supplementary. Then find the value of x.

3. Draw a pair of adjacent supplementary angles so that one angle has a measure of 60°.

This video explains complementary, supplementary, and vertical angles.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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