Solving Linear Equations and Angles

The video tutorial explains how to solve for x in vertical angles using algebra. It begins by defining vertical angles as congruent angles formed when two lines intersect. The tutorial sets up an equation equating the expressions for the vertical angles and demonstrates step-by-step how to isolate and solve for x. The process involves algebraic manipulation, including subtraction and division, to find the value of x. The tutorial concludes with the solution, showing that x equals -17.

What are vertical angles?

• Angles that are supplementary

• Angles that are adjacent to each other

• Angles that are on the same side of a line

• Angles that are opposite each other when two lines intersect

When two lines intersect, what is formed at the point of intersection?

• A square

• A circle

• A pair of vertical angles

• A triangle

What is the relationship between vertical angles?

• They are supplementary

• They are congruent

• They are always different

• They are complementary

If one vertical angle is 2x + 68, what is the expression for the opposite angle?

• 2x + 68

• x + 68

• 5x + 119

• 3x + 68

What is the first step in solving the equation 2x + 68 = 5x + 119?

• Subtract 5x from both sides

• Add 5x to both sides

• Subtract 68 from both sides

• Add 68 to both sides

After subtracting 68 from both sides, what is the next step?

• Subtract 2x from both sides

• Add 2x to both sides

• Subtract 5x from both sides

• Add 5x to both sides

What is the simplified form of the equation after subtracting 5x?

• -x = 51

• x = 51

• 3x = 51

• -3x = 51

What is the value of x when you solve -3x = 51?

• 17

• -17

• 51

• -51