Angles / Angle Relationships / Angle Addition

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line. They are supplementary.

Front

If two angles are complementary, what is the sum of their measures?

Back

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

Front

If two angles are supplementary, what is the sum of their measures?

Back

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

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then the measure of angle AOB plus the measure of angle BOC equals the measure of angle AOC.

Front

What is the measure of angle 5 if angle 2 measures 38 degrees and they are vertical angles?

Back

Angle 5 also measures 38 degrees because vertical angles are equal.

Front

Identify a linear pair from the following angles: ∠1 and ∠4, ∠3 and ∠2, ∠4 and ∠5, ∠3 and ∠5.

Back

∠4 and ∠5 form a linear pair.

Front

What is another name for angle ∠KGH?

Back

Angle ∠KGH can also be referred to as angle ∠LGK or angle ∠LHG depending on the context.

Front

If angle x measures 19 degrees, what is the measure of its complement?

Back

The complement of angle x is 71 degrees (90 - 19 = 71).

Front

If angle x measures 38 degrees, what is the measure of its supplement?

Back

The supplement of angle x is 142 degrees (180 - 38 = 142).