Solving Angle Pairs

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.

Front

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

Back

60 degrees (90 - 30 = 60).

Front

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

Back

60 degrees (180 - 120 = 60).

Front

What is the relationship between vertical angles?

Back

Vertical angles are equal in measure.

Front

If two angles are adjacent and one measures 45 degrees, what is the maximum measure the other angle can have if they are supplementary?

Back

135 degrees (180 - 45 = 135).

Front

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

Back

90 degrees.

Front

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

Back

180 degrees.