Angle Relationships

Front

What are angle relationships?

Back

Angle relationships refer to the ways in which angles interact with each other, including concepts such as complementary, supplementary, vertical, and adjacent angles.

Front

What is a complementary angle?

Back

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

Front

What is a supplementary angle?

Back

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

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent (equal in measure).

Front

If one angle measures 120°, what is its supplementary angle?

Back

The supplementary angle would measure 60° because 180° - 120° = 60°.

Front

If ∠COB is 124°, what is the measure of ∠BOD if they are supplementary?

Back

∠BOD would measure 56° because 180° - 124° = 56°.

Front

What is the relationship between adjacent angles?

Back

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

Front

How do you find the measure of an unknown angle in a linear pair?

Back

To find the measure of an unknown angle in a linear pair, subtract the known angle from 180°.

Front

What is the sum of the measures of angles in a triangle?

Back

The sum of the measures of angles in a triangle is always 180°.

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When a transversal crosses parallel lines, it creates corresponding angles, alternate interior angles, and alternate exterior angles, which have specific relationships (e.g., corresponding angles are equal).