Angle Relationships

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

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If ∠1 and ∠2 are supplementary, what is the relationship between their measures?

Back

The sum of the measures of ∠1 and ∠2 is 180 degrees.

Front

If ∠3 and ∠4 are vertical angles, what can be said about their measures?

Back

The measures of ∠3 and ∠4 are equal.

Front

What is the relationship between adjacent angles?

Back

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

Front

If two angles are complementary, what is the maximum measure one angle can have?

Back

One angle can be at most 89 degrees, as the other must be at least 1 degree to sum to 90 degrees.

Front

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

Back

The sum is always 180 degrees.

Front

Can two angles be both complementary and supplementary?

Back

No, two angles cannot be both complementary and supplementary at the same time.

Front

If ∠5 and ∠6 are complementary, and ∠5 measures 30 degrees, what is the measure of ∠6?

Back

∠6 measures 60 degrees.