Complementary, Supplementary, and Vertical Angles

Front

What are vertical angles?

Back

Vertical angles are angles that are opposite each other when two lines intersect. They are always congruent (equal in measure).

Front

What is the sum of complementary angles?

Back

The sum of complementary angles is 90 degrees.

Front

What is the sum of supplementary angles?

Back

The sum of supplementary angles is 180 degrees.

Front

If angle A is 35°, what is the measure of its complementary angle?

Back

55° (90° - 35° = 55°).

Front

If angle B is 75°, what is the measure of its supplementary angle?

Back

105° (180° - 75° = 105°).

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

If two angles are vertical angles, what can we say about their measures?

Back

They are congruent (equal in measure).

Front

If angle C is 45°, what is the measure of its complementary angle?

Back

45° (90° - 45° = 45°).

Front

If angle D is 120°, what is the measure of its supplementary angle?

Back

60° (180° - 120° = 60°).

Front

What is the relationship between complementary angles?

Back

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