Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.37

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. [Grade 7, 21]

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 90o, and supplementary angles are angles whose measures add up to 180o.
  • Relationships between angles depends on where the angles are located.

Vocabulary

  • Supplementary angles
  • Complementary angles
  • vertical angles
  • Adjacent angles
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