Missing Angles and 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 supplementary, what is the sum of their measures?

Back

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

Front

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

Back

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

Front

What is the measure of angle 5 if angle 6 is 55 degrees and they are vertical angles?

Back

Angle 5 is also 55 degrees because vertical angles are equal.

Front

If m∠1 = 30°, what is m∠3 if angle 1 and angle 3 are vertical angles?

Back

m∠3 = 30° because vertical angles are equal.

Front

What type of angles are formed when two lines intersect?

Back

When two lines intersect, they form vertical angles and adjacent angles.

Front

What is the relationship between adjacent angles?

Back

Adjacent angles share a common side and a common vertex, and they do not overlap.

Front

If angle 5 is 65 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle is 115 degrees because 180° - 65° = 115°.

Front

What are complementary angles? Give an example.

Back

Complementary angles are two angles whose measures add up to 90 degrees. For example, 30° and 60° are complementary.

Front

If angle 8 is 45 degrees, what is the measure of angle 7 if they are vertical angles?

Back

Angle 7 is also 45 degrees because vertical angles are equal.