Vertical and Adjacent Angles

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 vertical, what can we say about their measures?

Back

If two angles are vertical, their measures are equal.

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

If ∠COB is 124°, what is the measure of its vertical angle ∠AOD?

Back

∠AOD is also 124° because vertical angles are equal.

Front

What is the relationship between adjacent angles?

Back

Adjacent angles can be complementary (sum to 90°) or supplementary (sum to 180°), but they are always next to each other.

Front

What is the sum of the measures of two supplementary angles?

Back

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

Front

What is the sum of the measures of two complementary angles?

Back

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

Front

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

Back

∠COB & ∠AOD are vertical angles.

Front

If ∠BOD is 56°, what is the measure of ∠COB?

Back

∠COB is 124° because ∠BOD and ∠COB are adjacent and supplementary.

Front

What type of angles are formed when two lines intersect?

Back

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