Using Alternate Interior Angles to Solve for X

The video tutorial explains the concept of parallel lines and transversals, focusing on identifying angle relationships such as alternate interior angles. It demonstrates how to solve for X in an equation derived from these angles, emphasizing that alternate interior angles are equal when lines are parallel. The tutorial concludes with solving the equation step-by-step.

What is a transversal in the context of parallel lines?

• A line that forms a right angle with another line

• A line that is perpendicular to another line

• A line that intersects two or more lines

• A line that runs parallel to another line

Which of the following is true about alternate interior angles?

• They are equal regardless of the lines being parallel

• They are always supplementary

• They are equal when the lines are parallel

• They are always complementary

What equation can be formed from the alternate interior angles in the given problem?

• 2X - 15 = X - 55

• 2X + 15 = X - 55

• 2X - 15 = X + 55

• 2X + 15 = X + 55

What is the first step in solving the equation 2X - 15 = X + 55?

• Divide both sides by X

• Multiply both sides by 2

• Subtract X from both sides

• Add 15 to both sides

What is the value of X after solving the equation?

• X = 15

• X = 55

• X = 70

• X = 85