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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

- 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.

The following diagram shows some examples of angle pair relationships: adjacent, complementary, supplementary and vertical angles. Scroll down the page for more examples and solutions.

Use supplementary, complementary, vertical, and adjacent angles to find unknown angles (7.G.5)

**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:

- Name a pair of adjacent angles.
- Name a pair of vertical angles.
- Tell whether the angles are adjacent or vertical. Then find the value of x.
- 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:

- Tell whether the angles are complementary, supplementary, or neither.
- Tell whether the angles are complementary or supplementary. Then find the value of x.
- 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**

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

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

Supplementary angles are 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).

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