Angles and Their Relationships

This video tutorial explains angles formed by transversals, including corresponding, alternate interior, alternate exterior, and consecutive interior angles. It covers their properties, such as congruence and supplementary nature, and provides examples and problem-solving techniques. The video also discusses the impact of non-parallel lines on angle congruence.

What are the types of angles formed by a transversal intersecting parallel lines?

• Complementary, Supplementary, Vertical, Adjacent

• Vertical, Adjacent, Linear Pair, Supplementary

• Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior

• Acute, Obtuse, Right, Straight

Which of the following is true about corresponding angles?

• They are always supplementary.

• They are always congruent.

• They are always complementary.

• They are always adjacent.

If angle 2 is 69 degrees, what is the measure of its corresponding angle?

• 111 degrees

• 69 degrees

• 90 degrees

• 180 degrees

What is the relationship between alternate interior angles?

• They are supplementary.

• They are congruent.

• They are adjacent.

• They are complementary.

Which angles are considered alternate interior angles?

• Angles 1 and 8

• Angles 2 and 7

• Angles 4 and 5

• Angles 3 and 6

What is true about alternate exterior angles?

• They are always supplementary.

• They are always complementary.

• They are always congruent.

• They are always adjacent.

Which of the following pairs are alternate exterior angles?

• Angles 1 and 5

• Angles 2 and 6

• Angles 1 and 8

• Angles 3 and 7

What is the sum of consecutive interior angles?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

Which angles are consecutive interior angles?

• Angles 4 and 6

• Angles 3 and 5

• Angles 2 and 7

• Angles 1 and 8

What happens to angle relationships when lines are not parallel?

• Alternate interior angles remain congruent.

• Consecutive interior angles remain supplementary.

• Corresponding angles are no longer congruent.

• All angles remain congruent.