Vertical 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 angles, what can we say about their measures?

Back

The measures of vertical angles are equal.

Front

Find the measure of ∠AOC if ∠AOB = 130°.

Back

∠AOC = 50° (since ∠AOB and ∠AOC are vertical angles).

Front

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

Back

The pairs of vertical angles are ∠COB & ∠AOD.

Front

If ∠X and ∠Y are vertical angles and ∠X = 55°, what is ∠Y?

Back

∠Y = 55° (because vertical angles are equal).

Front

What is the sum of the measures of two adjacent angles that form a linear pair?

Back

The sum is 180°.

Front

If ∠AOD = 40° and ∠AOC is a vertical angle, what is the measure of ∠AOC?

Back

∠AOC = 40°.

Front

Find the value of x if ∠AOB = 28° and ∠AOC is a vertical angle.

Back

x = 28°.

Front

What is the relationship between vertical angles and linear pairs?

Back

Vertical angles are equal, while linear pairs are supplementary (sum to 180°).

Front

If ∠BOD = 72°, what is the measure of its vertical angle ∠AOC?

Back

∠AOC = 72°.