Solving for X: Vertical Angles and Linear Pairs

The video tutorial explains how to solve for x using angle relationships. It covers two main types of angle relationships: linear pairs and vertical angles. Linear pairs are angles that add up to 180 degrees, while vertical angles are congruent. The tutorial provides step-by-step solutions for each type, including checking the answers by substituting the value of x back into the original angles. The video concludes with practice problems for viewers to try on their own.

What is the sum of the angles in a linear pair?

• 90°

• 180°

• 360°

• 45°

If two angles form a linear pair and one angle is 2x + 14, what is the other angle if x = 34?

• 98°

• 82°

• 102°

• 68°

What is the value of x if the angles 2x + 14 and 3x - 4 form a linear pair?

• 34

• 30

• 40

• 50

What type of angles are formed when two angles are opposite each other on intersecting lines?

• Linear pair

• Complementary angles

• Vertical angles

• Supplementary angles

If x + 40 and 5x - 20 are vertical angles, what is the value of x?

• 50

• 80

• 70

• 60

What is the measure of each angle if x = 60 for the vertical angles x + 40 and 5x - 20?

• 120°

• 140°

• 160°

• 100°

What should you do to verify your solution after finding the value of x in angle problems?

• Check if the angles add up to 90°

• Check if the angles are complementary

• Check if the angles are equal

• Substitute x back into the original angles

In the practice problem, what type of angles were found to be equal to 50° each?

• Linear pair

• Vertical angles

• Supplementary angles

• Complementary angles

In the practice problem, what was the value of x for the linear pair that added up to 180°?

• 30

• 20

• 40

• 50

What was the measure of the left-hand angle in the practice problem where x = 30?

• 170°

• 160°

• 150°

• 140°