Solving Vertical Angles Equations

The video tutorial explains how to solve for the variable X in two different algebraic expressions. It begins by discussing the concept of vertical angles formed by intersecting lines and how these angles are equal. The first example involves solving an equation by isolating X and verifying the solution through substitution. The second example introduces a problem involving division, follows similar steps to solve for X, and verifies the solution. The tutorial emphasizes understanding the properties of angles and algebraic manipulation to find the value of X.

What is the relationship between the angles formed by two intersecting lines?

• They are complementary.

• They are supplementary.

• They are vertical angles.

• They are adjacent angles.

If two angles are vertical angles, what can be said about their measures?

• They add up to 180 degrees.

• One is double the other.

• They are different.

• They are equal.

In the first example, what is the initial equation set up to solve for X?

• 9X - 8 = 72

• 9X - 8 = 64

• 9X + 8 = 64

• 9X = 72

What is the value of X in the first example after solving the equation?

• 10

• 8

• 7

• 9

How do you verify the solution for X in the first example?

• By checking if 9X - 8 equals 72

• By checking if 9X + 8 equals 64

• By checking if 9X + 8 equals 72

• By checking if 9X - 8 equals 64

In the second example, what is the initial equation set up to solve for X?

• 400 / X + 15 = 80

• 400 / X - 15 = 95

• 400 / X + 15 = 95

• 400 / X = 95

What is the first step in isolating X in the second example?

• Multiply both sides by X

• Subtract 15 from both sides

• Divide both sides by X

• Add 15 to both sides

After isolating X in the second example, what equation do we get?

• 400 = 80X

• 400 = 95X

• 400 = 15X

• 400 = 5X

What is the value of X in the second example after solving the equation?

• 7

• 6

• 5

• 4

How do you verify the solution for X in the second example?

• By checking if 400 / 5 - 15 equals 80

• By checking if 400 / 5 + 15 equals 95

• By checking if 400 / 5 - 15 equals 95

• By checking if 400 / 5 + 15 equals 80