Vertical Angles and Linear Pairs

Front

What are vertical angles?

Back

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

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles formed when two lines intersect. The sum of the angles in a linear pair is always 180 degrees.

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 relationship between vertical angles?

Back

Vertical angles are always congruent, meaning they have equal measures.

Front

If angle ∠ABD is 67°, what is the measure of angle ∠DBC if they form a linear pair?

Back

Angle ∠DBC is 113° because 180° - 67° = 113°.

Front

Find the missing angle if one angle is 70° and they are a linear pair.

Back

The missing angle is 110° because 180° - 70° = 110°.

Front

What is the measure of angle ∠A if angle ∠B is 5° and they are complementary?

Back

Angle ∠A is 85° because 90° - 5° = 85°.

Front

If two angles are vertical angles and one measures 160°, what is the measure of the other angle?

Back

The other angle also measures 160° because vertical angles are congruent.

Front

What type of angles are formed when two lines intersect?

Back

When two lines intersect, they form vertical angles and linear pairs.