Angle Relationships

Front

What are vertical angles?

Back

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

Front

If two angles are complementary, what is the sum of their measures?

Back

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

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of two supplementary angles is 180 degrees.

Front

What is the measure of angle x if angle 1 is 70 degrees and angle 2 is its complement?

Back

x = 20 degrees (since 90 - 70 = 20).

Front

Identify the vertical angle to angle 3 if angle 3 is 45 degrees.

Back

The vertical angle to angle 3 is also 45 degrees.

Front

What is the relationship between adjacent angles formed by two intersecting lines?

Back

Adjacent angles are angles that share a common side and vertex, and their measures add up to 180 degrees.

Front

If angle 4 is 60 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle is 120 degrees (180 - 60 = 120).

Front

What is the value of x if angle 5 is 90 degrees and angle 6 is its vertical angle?

Back

x = 90 degrees (vertical angles are equal).

Front

Find the missing angle x if angle 7 is 30 degrees and angle 8 is its complement.

Back

x = 60 degrees (90 - 30 = 60).

Front

What is the measure of angle 9 if angle 10 is 150 degrees and they are supplementary?

Back

Angle 9 = 30 degrees (180 - 150 = 30).