Angle Relationships

Front

What are angle relationships?

Back

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

Front

What is a complementary angle?

Back

Two angles are complementary if their measures add up to 90°.

Front

What is a supplementary angle?

Back

Two angles are supplementary if their measures add up to 180°.

Front

What are vertical angles?

Back

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

Front

What are corresponding angles?

Back

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

Front

What are alternate interior angles?

Back

Alternate interior angles are angles that lie between two parallel lines on opposite sides of a transversal. They are equal.

Front

What are same side interior angles?

Back

Same side interior angles are angles that lie between two parallel lines on the same side of a transversal. They are supplementary.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are angles that lie outside two parallel lines on opposite sides of a transversal. They are equal.

Front

If ∠BPD + ∠DPC = 72°, what is ∠APC if ∠APC is supplementary to ∠BPD?

Back

∠APC = 180° - 72° = 108°.

Front

If Angle 1 = 27°, what is the measure of Angle 4 if Angle 4 is vertical to Angle 1?

Back

Angle 4 = 27°.