Complementary, Supplementary, and Vertical Angles

Front

What are complementary angles?

Back

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

Front

What are supplementary angles?

Back

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

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

If ∠A and ∠B are complementary and ∠A = 40°, what is ∠B?

Back

∠B = 50° (90° - 40° = 50°).

Front

If ∠C and ∠D are supplementary and ∠C = 110°, what is ∠D?

Back

∠D = 70° (180° - 110° = 70°).

Front

Find the value of x if ∠1 + ∠2 = 90° and ∠1 = 30°. What is ∠2?

Back

∠2 = 60° (90° - 30° = 60°).

Front

What is an example of a pair of supplementary angles?

Back

An example of supplementary angles is 120° and 60°.

Front

If ∠E and ∠F are vertical angles and ∠E = 45°, what is ∠F?

Back

∠F = 45° (vertical angles are equal).

Front

If ∠G = 25° and ∠H is complementary to ∠G, what is ∠H?

Back

∠H = 65° (90° - 25° = 65°).

Front

If ∠I = 75° and ∠J is supplementary to ∠I, what is ∠J?

Back

∠J = 105° (180° - 75° = 105°).