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 congruent.

Front

What is the relationship between vertical angles?

Back

Vertical angles are always congruent, meaning they have the same measure.

Front

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

Back

If two angles are vertical angles, 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

How can you identify vertical angles in a diagram?

Back

Vertical angles can be identified as the pairs of angles that are opposite each other at the intersection of two lines.

Front

If ∠1 and ∠2 are vertical angles, what can we say about their measures?

Back

The measures of ∠1 and ∠2 are equal.

Front

What is the sum of the measures of angles around a point?

Back

The sum of the measures of angles around a point is 360 degrees.

Front

If two angles are supplementary, what is the relationship between their measures?

Back

If two angles are supplementary, their measures add up to 180 degrees.

Front

What is the value of x if ∠A = 37° and ∠B is a vertical angle to ∠A?

Back

x = 37°, since vertical angles are congruent.

Front

If ∠C and ∠D are adjacent angles and ∠C = 32°, what can we say about ∠D if they are supplementary?

Back

∠D = 180° - 32° = 148°.