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What’s Your Angle?MACC.7.G.2.5Use 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.

+Vocabulary

Supplementary angles are two angles whose measures add up to 180 degrees.

Complementary angles are two angles whose measures add up to 90 degrees.

Adjacent angles are two angles that have the same vertex and a common side.

Vertical angles are two nonadjacent angles that are formed by two intersecting lines.

+Let’s Try It

List the supplementary angles of .

List the complementary angles of .

List the vertical angles shown.

What is the measure of ?

+Let’s Review

List the supplementary angles of .

+Let’s Review

List the complementary angles of .

+Let’s Review

List the vertical angles shown.

+Let’s Review

When given a sketch or figure, we can write and solve equations to find the

measures of missing angles.

What is the measure of ?

+What’s Your Angle?

Each handout contains four sketches and 24 equation cards. Cut out equation card. Do not cut out the sketches.

The sketches are not drawn to scale and protractors cannot be used. Assume that all lines are straight lines and all right angles are represented by a small box in the vertex. Some equation cards are identical, because the same equation can match two sketches.

Glue the sketches across the top of another sheet of paper. Now match each equation card with a sketch, then glue the matching cards beneath each sketch.

You have 20 minutes to complete this task.

+Sketch 1

+Sketch 2

+Sketch 3

+Sketch 4