Exploring Rational Expressions: Addition and Subtraction

This video tutorial covers the concept of parallel lines cut by a transversal and how to use algebraic expressions to solve for angle measurements. It explains different angle relationships such as corresponding, alternate exterior, alternate interior, and same side interior angles, and whether they are congruent or supplementary. The tutorial includes multiple examples with step-by-step solutions and concludes with practice problems for viewers to try on their own.

What is the line called that intersects two parallel lines?

• Perpendicular line

• Transversal

• Median

• Bisector

When two angles are on the same side and location across parallel lines, they are known as?

• Alternate interior angles

• Corresponding angles

• Alternate exterior angles

• Supplementary angles

If two angles are congruent and one is 58 degrees, what is the measure of the other angle?

• 122 degrees

• 180 degrees

• 90 degrees

• 58 degrees

What type of angles are on the opposite sides of the transversal and outside the parallel lines?

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

• Same side interior angles

If alternate exterior angles are congruent and one is 134 degrees, what is the measure of the other angle?

• 46 degrees

• 134 degrees

• 90 degrees

• 180 degrees

What type of angles are on opposite sides inside the parallel lines?

• Same side interior angles

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

If two angles are supplementary and their measures are 9x + 2 and 133, what is the value of x?

• 12

• 7

• 18

• 5

What type of angles are on the same side of the transversal and outside the parallel lines?

• Alternate interior angles

• Corresponding angles

• Same side exterior angles

• Alternate exterior angles

If same side exterior angles are supplementary and their expressions are 9x - 33 and 5x + 3, what is the value of x?

• 18

• 23

• 12

• 7

When two angles are congruent and their algebraic expressions are 11x - 47 and 6x - 2, what is the value of x?

• 5

• 12

• 7

• 9