MA19.7.21

Mathematics (2019) Grade(s): 7

MA19.7.21
Use facts about supplementary, complementary, vertical, and adjacent angles in multi-step problems to write and solve simple equations for an unknown angle in a figure.

Unpacked Content

Knowledge

Students know:

supplementary angles are angles whose measures add to 180 degrees.
Complementary angles are angles whose measures add to 90 degrees.
vertical angles are opposite angles formed when two lines intersect.
Adjacent angles are non-overlapping angles which share a common vertex and side.

Skills

Students are able to:

write a simple equation to find an unknown angle.
Identify and determine values of angles in complementary and supplementary relationships.
Identify pairs of vertical angles in angle diagrams.
Identify pairs of complementary and supplementary angles in angle diagrams.
Use vertical, complementary, and supplementary angle relationships to find missing angles.

Understanding

Students understand that:

vertical angles are the pair of angles formed across from one another when two lines intersect, and that the measurements of vertical angles are congruent.
Complementary angles are angles whose measures add up to 90^o, and supplementary angles are angles whose measures add up to 180^o.
Relationships between angles depends on where the angles are located.

Vocabulary

Supplementary angles
Complementary angles
vertical angles
Adjacent angles

Aligned Learning Resources

Writing and Solving Equations Using Angle Terminology

Adjacent Angles

Nonadjacent Angles

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