Linear Pairs and Vertical Angles

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line. They are supplementary, meaning their measures add up to 180 degrees.

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 form a linear pair, what can be said about their measures?

Back

The measures of two angles that form a linear pair add up to 180 degrees.

Front

Identify a pair of vertical angles from the following: ∠COB & ∠COA, ∠AOD & ∠AOC, ∠COB & ∠AOD, ∠BOD & ∠AOD.

Back

∠COB & ∠AOD are vertical angles.

Front

If ∠9 and ∠10 form a linear pair, what is the relationship between their measures?

Back

The measures of ∠9 and ∠10 add up to 180 degrees.

Front

What is the relationship between adjacent angles that form a linear pair?

Back

Adjacent angles that form a linear pair share a common vertex and a common side, and their other sides form a straight line.

Front

Are vertical angles always equal?

Back

Yes, vertical angles are always equal in measure.

Front

If two angles are supplementary, what can be inferred about their relationship?

Back

If two angles are supplementary, they either form a linear pair or are two angles that add up to 180 degrees.

Front

What is the measure of each angle in a linear pair if one angle measures 70 degrees?

Back

The other angle measures 110 degrees, since 70 + 110 = 180.

Front

Can two angles be both vertical angles and a linear pair?

Back

No, two angles cannot be both vertical angles and a linear pair because vertical angles are opposite angles and do not share a common side.