Vertical Angles and Linear Pairs

Front

What are vertical angles?

Back

Vertical angles are pairs of opposite angles formed when two lines intersect. They are always congruent (equal in measure).

Front

Name a pair of vertical angles in the following diagram:

Back

Angles 7 and 9.

Front

What is the relationship between vertical angles?

Back

Vertical angles are congruent (they have equal measures).

Front

What are linear pairs of angles?

Back

Linear pairs are two adjacent angles that form a straight line. The sum of their measures is always 180 degrees.

Front

If two angles are a linear pair, what can be said about their measures?

Back

The measures of the two angles add up to 180 degrees.

Front

If m∠1 = 30°, what is m∠2 if ∠1 and ∠2 are a linear pair?

Back

m∠2 = 150°.

Front

If two angles are vertical angles, what can you say about their measures?

Back

They are equal (congruent).

Front

Find the missing angle if m∠A + m∠B = 180° and m∠A = 70°. What is m∠B?

Back

m∠B = 110°.

Front

What is the measure of vertical angles if one angle measures 160°?

Back

The other angle also measures 160°.

Front

If m∠3 = 60° and m∠4 is a vertical angle to ∠3, what is m∠4?

Back

m∠4 = 60°.