Angle Relationships and Equation Simplification

This lesson covers transversals and simplifying equations. It begins with an introduction to transversals, explaining how they intersect parallel lines and the measures of angles formed. The lesson then discusses corresponding and alternate angles, including exterior and interior angles. Finally, it transitions to algebra, focusing on simplifying and solving equations by combining like terms and using the distributive property.

What is a transversal?

• A line that is parallel to another line

• A line that intersects two or more lines in a plane

• A line that does not intersect any other line

• A line that is perpendicular to another line

If angle A is 105 degrees, what type of angle is it?

• Acute

• Right

• Straight

• Obtuse

Which of the following angles is not equal to 105 degrees?

• Angle F

• Angle H

• Angle E

• Angle D

What is the measure of angle B if angle A is 105 degrees?

• 180 degrees

• 90 degrees

• 105 degrees

• 75 degrees

What is the measure of angle C if angle A is 105 degrees?

• 180 degrees

• 75 degrees

• 105 degrees

• 90 degrees

What is the measure of angle F if angle A is 105 degrees?

• 180 degrees

• 105 degrees

• 75 degrees

• 90 degrees

Which pair of angles are corresponding angles?

• Angles 4 and 8

• Angles 3 and 5

• Angles 2 and 6

• Angles 1 and 7

Which of the following is not a corresponding angle pair?

• Angles 3 and 7

• Angles 1 and 5

• Angles 2 and 6

• Angles 4 and 8

Which of the following is a pair of alternate exterior angles?

• Angles 1 and 5

• Angles 4 and 6

• Angles 2 and 8

• Angles 3 and 7

Which of the following is not an alternate exterior angle pair?

• Angles 4 and 6

• Angles 3 and 5

• Angles 2 and 8

• Angles 1 and 7