Exploring Parallel Lines and Transversals in Geometry

This video tutorial covers solving geometry problems involving parallel lines and transversals. It provides step-by-step solutions for problems 19 to 28 from a worksheet, focusing on finding the value of X using properties of angles such as corresponding, alternate interior, alternate exterior, and consecutive interior angles. The tutorial also includes a brief review of concepts from a previous video and encourages viewers to engage with the content by liking, subscribing, and commenting.

Which of the following angle pairs are congruent?

• Vertical angles

• Adjacent angles

• Consecutive interior angles

• Corresponding angles

In problem 19, if one angle is 90 degrees and the other is 21X + 6, what is the value of X?

• 6

• 5

• 4

• 3

For problem 20, if 75 degrees is a corresponding angle to 11X - 2, what is the value of X?

• 7

• 5

• 6

• 8

In problem 21, what is the value of X if the alternate interior angles are 8X - 4 and 60 degrees?

• 8

• 9

• 7

• 6

For problem 22, if X + 139 equals 132, what is the value of X?

• -5

• -8

• -6

• -7

In problem 23, if -1 + 14X equals 12X + 17, what is the value of X?

• 10

• 9

• 8

• 7

For problem 24, if 23X - 5 equals 21X + 5, what is the value of X?

• 7

• 4

• 5

• 6

In problem 25, if X + 96 and X + 96 are consecutive interior angles, what is the measure of the bold angle?

• 80 degrees

• 95 degrees

• 85 degrees

• 90 degrees

For problem 26, if 20X + 5 and 24X - 1 are consecutive interior angles, what is the measure of the indicated angle?

• 95 degrees

• 80 degrees

• 85 degrees

• 90 degrees

In problem 28, if X + 109 and X + 89 are consecutive interior angles, what is the measure of the bold angle?

• 70 degrees

• 75 degrees

• 80 degrees

• 85 degrees