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 one angle measures 30°, what is its complementary angle?

Back

60° (90° - 30° = 60°).

Front

If one angle measures 120°, what is its supplementary angle?

Back

60° (180° - 120° = 60°).

Front

What is the equation to find a missing angle that is complementary to 64°?

Back

x + 64 = 90.

Front

What is the equation to find a missing angle that is supplementary to 64°?

Back

x + 64 = 180.

Front

If ∠1 and ∠2 are supplementary and ∠1 measures 75°, what is the measure of ∠2?

Back

105° (180° - 75° = 105°).

Front

If ∠3 is 83°, what is the measure of the vertical angle ∠4?

Back

83° (Vertical angles are equal).

Front

If ∠5 is 47° and ∠6 is its vertical angle, what is the measure of ∠6?

Back

47° (Vertical angles are equal).