Angle Relationships with Parallel Lines: Advanced Techniques

What is the definition of supplementary angles?

• Two angles that are adjacent

• Two angles that are equal

• Two angles that add up to 90°

• Two angles that add up to 180°

In the first example problem, how many parallel lines are involved?

• One

• Two

• Three

• Four

What is the trick to solving the first example problem?

• Using only one transversal

• Guessing the angle relationships

• Drawing the lines that help create each angle

• Ignoring all lines

Which angle relationship is identified in the first example problem?

• Alternate exterior angles

• Corresponding angles

• Alternate interior angles

• Consecutive interior angles

Which angle relationship involves angles on the same side of the transversal?

• Alternate interior angles

• Consecutive interior angles

• Corresponding angles

• Alternate exterior angles

In the second example problem, what is the relationship between angle X and angle Y?

• Alternate interior angles

• Corresponding angles

• Consecutive interior angles

• Alternate exterior angles

What is the key characteristic of corresponding angles?

• They are always supplementary

• They are in the same location at different intersections

• They are on opposite sides of the transversal

• They are on the same side of the transversal

What should you do if the angles look the same in parallel lines?

• Assume they are complementary

• Assume they are congruent

• Assume they are adjacent

• Assume they are supplementary

In the third example problem, what type of angles are angle X and angle Y?

• Alternate interior angles

• Consecutive interior angles

• Corresponding angles

• Alternate exterior angles

What is the defining feature of alternate exterior angles?

• They are always congruent

• They are on the same side of the transversal

• They are on opposite sides of the transversal

• They are inside the parallel lines