 # Finding Angles

Related Topics:
Common Core for Mathematics
Lesson Plans and Worksheets for all Grades

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

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

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).

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

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