Warm Up 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

Provide an example of a pair of vertical angles.

Back

Angles 7 and 9 are an example of a pair of vertical angles.

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

Provide an example of a pair of adjacent angles.

Back

Angles 7 and 10 are an example of a pair of adjacent angles.

Front

What is the definition of complementary angles?

Back

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

Front

If one angle measures 32 degrees, what is its complement?

Back

The complement of a 32-degree angle is 58 degrees.

Front

What is the sum of the measures of angles on a straight line?

Back

The sum of the measures of angles on a straight line is 180 degrees.

Front

What is the relationship between the measures of angles formed by two intersecting lines?

Back

The angles formed by two intersecting lines are either vertical angles (equal) or supplementary angles (sum to 180 degrees).

Front

If m∠1 = 30°, what is the measure of m∠3 if they are vertical angles?

Back

If m∠1 = 30°, then m∠3 also equals 30° because vertical angles are equal.

Front

What is the definition of supplementary angles?

Back

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