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.
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
UP:MA19.7.21
Vocabulary
- Supplementary angles
- Complementary angles
- vertical angles
- Adjacent angles
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 90o, and supplementary angles are angles whose measures add up to 180o.
- Relationships between angles depends on where the angles are located.
