Angle Relationships

Angle relationships refer to the connections between angles formed by intersecting lines, including complementary, supplementary, vertical, and corresponding angles.

Complementary angles are two angles whose measures add up to $$90^\text{degrees}$$ .

Supplementary angles are two angles whose measures add up to $$180^\text{degrees}$$ .

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

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal. They are equal.

Alternate interior angles are pairs of angles on opposite sides of a transversal but inside the two lines. They are equal when the lines are parallel.

Alternate exterior angles are pairs of angles on opposite sides of a transversal but outside the two lines. They are equal when the lines are parallel.

$$m\text{∠2} = 115^\text{degrees}$$ .

The other angle measures $$115^\text{degrees}$$ .

The corresponding angles are equal.