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 is the definition of complementary angles?

Back

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

Front

What is the definition of supplementary angles?

Back

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

Front

If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle?

Back

The other angle measures 60 degrees (90 - 30 = 60).

Front

If two angles are supplementary and one angle measures 120 degrees, what is the measure of the other angle?

Back

The other angle measures 60 degrees (180 - 120 = 60).

Front

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

Back

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

Front

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

Back

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

Front

If m∠1 = 45°, what is the measure of its vertical angle?

Back

The measure of its vertical angle is also 45°.

Front

If two angles are complementary and one angle measures x degrees, what is the measure of the other angle in terms of x?

Back

The measure of the other angle is (90 - x) degrees.

Front

If m∠1 = 30° and m∠2 = 150°, are these angles complementary, supplementary, or neither?

Back

These angles are supplementary because 30° + 150° = 180°.