Consecutive Angles Theorem with Parallel Lines

The video tutorial explains the relationship between angles and parallel lines, emphasizing the role of transversals in creating consecutive interior angles. It highlights that these angles are supplementary, meaning their sum is 180 degrees, forming a linear pair that creates a straight angle. The tutorial provides examples to illustrate these concepts, helping students understand the geometric principles involved.

Why is it important for lines to be parallel when discussing angles in this context?

• Because parallel lines are always horizontal

• Because parallel lines help in defining supplementary angles

• Because parallel lines ensure angles are equal

• Because parallel lines never intersect

What is the sum of consecutive interior angles when a transversal intersects parallel lines?

• 90 degrees

• 45 degrees

• 180 degrees

• 360 degrees

What term is used to describe angles that add up to 180 degrees?

• Complementary

• Supplementary

• Vertical

• Adjacent

Which of the following is an example of supplementary angles?

• Angle 7 and Angle 8 = 45 degrees

• Angle 4 and Angle 6 = 360 degrees

• Angle 3 and Angle 5 = 180 degrees

• Angle 1 and Angle 2 = 90 degrees

What is created when supplementary angles form a linear pair?

• A circle

• A triangle

• A straight line

• A square