Angle Relationships with Equations

Front

What is the definition of complementary angles?

Back

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

Front

What is the definition of supplementary angles?

Back

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

Front

What is the definition of vertical angles?

Back

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

Front

What is the definition of adjacent angles?

Back

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

Front

If angle A and angle B are complementary, and angle A measures 30 degrees, what is the measure of angle B?

Back

Angle B measures 60 degrees, since 90 - 30 = 60.

Front

If angle C and angle D are supplementary, and angle C measures 110 degrees, what is the measure of angle D?

Back

Angle D measures 70 degrees, since 180 - 110 = 70.

Front

What is the relationship between angles formed by intersecting lines?

Back

The angles formed by intersecting lines include vertical angles (which are equal) and adjacent angles (which are supplementary).

Front

If angle E measures 45 degrees, what is the measure of its complement?

Back

The complement of angle E is 45 degrees, since 90 - 45 = 45.

Front

If angle F measures 120 degrees, what is the measure of its supplement?

Back

The supplement of angle F is 60 degrees, since 180 - 120 = 60.

Front

What is the sum of the measures of two complementary angles?

Back

The sum of the measures of two complementary angles is always 90 degrees.