Angle Relationships

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

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal. They are equal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines. They are equal when the lines are parallel.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles on opposite sides of the transversal but outside the two lines. They are equal when the lines are parallel.

Front

If angle A is 30 degrees, what is the measure of its complementary angle?

Back

The complementary angle is 60 degrees, since 90 - 30 = 60.

Front

If angle B is 120 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle is 60 degrees, since 180 - 120 = 60.

Front

Identify the vertical angles in the following scenario: If angle 1 is 50 degrees, what is the measure of angle 3?

Back

Angle 3 is also 50 degrees, as vertical angles are equal.

Front

Find the value of x if angle 1 is 70 degrees and angle 2 is supplementary to angle 1.

Back

x = 110 degrees, since 180 - 70 = 110.