Exploring Angle Relationships with Parallel Lines

What is a transversal?

• A line that divides an angle into two equal parts

• A line that forms a right angle with another line

• A line that is parallel to another line

• A line that intersects two or more lines at different points

What is the sum of the measures of supplementary angles?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Which of the following pairs of angles are vertical angles?

• Angle 1 and Angle 2

• Angle 3 and Angle 4

• Angle 1 and Angle 4

• Angle 5 and Angle 6

What are corresponding angles?

• Angles that are on opposite sides of the transversal and outside the two lines

• Angles that are on opposite sides of the transversal and inside the two lines

• Angles that occupy the same relative position at each intersection where a transversal crosses two lines

• Angles that are on the same side of the transversal and inside the two lines

Which of the following pairs of angles are alternate interior angles?

• Angle 2 and Angle 7

• Angle 5 and Angle 4

• Angle 3 and Angle 6

• Angle 1 and Angle 8

Which of the following pairs of angles are alternate exterior angles?

• Angle 2 and Angle 7

• Angle 5 and Angle 4

• Angle 3 and Angle 6

• Angle 1 and Angle 8

If angle 5 measures 75 degrees, what is the measure of angle 1?

• 75 degrees

• 105 degrees

• 180 degrees

• 90 degrees

If angle 1 measures 80 degrees, what is the measure of angle 4?

• 80 degrees

• 60 degrees

• 100 degrees

• 180 degrees

If angle 3 measures 110 degrees, what is the measure of angle 7?

• 70 degrees

• 110 degrees

• 180 degrees

• 90 degrees

If angle 7 measures 140 degrees, what is the measure of angle 1?

• 40 degrees

• 140 degrees

• 180 degrees

• 90 degrees