Determine Lines are Parallel Using Consecutive Interior Angles

The video tutorial explains how to determine if lines are parallel by examining angle measures. It covers alternate interior angles, corresponding angles, and consecutive interior angles, emphasizing their role in proving parallelism. The tutorial also demonstrates solving equations to find angle values, ensuring lines are parallel. The lesson concludes with a summary of key points.

Which of the following angle pairs can be used to prove that two lines are parallel?

• Complementary angles

• Adjacent angles

• Alternate interior angles

• Vertical angles

What is the known value of angle Y, and why?

• Y = 50 because they are corresponding angles

• Y = 150 because they are alternate interior angles

• Y = 50 because they are vertical angles

• Y = 150 because they are consecutive interior angles

Why do we need to find when angles X and 150 are supplementary?

• To determine if the angles are congruent

• To find the value of Y

• To prove that the lines are parallel

• To prove that the lines are perpendicular

What is the correct value of X for the lines to be parallel?

• X = 150

• X = 180

• X = 280

• X = 100

What mistake was corrected in the calculation of X?

• Adding 150 instead of subtracting

• Calculating X as 280 instead of 180

• Subtracting 100 instead of 150

• Using the wrong angle measure for Y