Same Side Interior Angles and Parallel Lines

The video tutorial explains the concept of same side interior angles formed when two lines are intersected by a transversal. It highlights the properties of these angles, especially when the lines are parallel, making the angles supplementary. The video also provides examples to illustrate how knowing the angles can determine if lines are parallel and vice versa.

What are same side interior angles?

• Angles on opposite sides of a transversal

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

• Angles that are always equal

• Angles that are always supplementary

How many pairs of same side interior angles are formed when two lines are intersected by a transversal?

• Two pairs

• One pair

• Three pairs

• Four pairs

Where are the same side interior angles located in relation to the transversal?

• Above the transversal

• Below the transversal

• On the same side of the transversal

• On opposite sides of the transversal

What happens to same side interior angles when the lines are parallel?

• They remain unchanged

• They become complementary

• They become supplementary

• They become equal

What does it mean for angles to be supplementary?

• They add up to 90°

• They are complementary

• They add up to 180°

• They are equal

If two lines are parallel, what can be said about the same side interior angles?

• They are congruent

• They are complementary

• They are supplementary

• They are equal

What is the 'if and only if' condition related to same side interior angles and parallel lines?

• If angles are supplementary, lines are parallel

• If angles are equal, lines are parallel

• If lines are parallel, angles are equal

• If lines are parallel, angles are complementary

In the example, if one angle is 80°, what must the other angle be for the lines to be parallel?

• 110°

• 100°

• 90°

• 80°

If two same side interior angles are supplementary, what can be concluded about the lines?

• The lines are skew

• The lines are intersecting

• The lines are parallel

• The lines are perpendicular

What is the sum of two supplementary angles?

• 90°

• 180°

• 270°

• 360°