Solve for the missing variable using an angle bisector ex 1

The video tutorial explains the concept of an angle bisector, which divides an angle into two congruent angles. It demonstrates how to set up and solve an equation using the properties of an angle bisector. The process involves formulating an equation based on the bisector's definition and solving it step-by-step to find the value of a variable. The tutorial concludes by summarizing the method used to solve the equation.

What is the primary function of an angle bisector?

• To measure the length of an angle

• To divide an angle into two unequal parts

• To create a right angle

• To divide an angle into two congruent angles

In the given example, what is the name of the ray that acts as the angle bisector?

• Ray XY

• Ray JL

• Ray AB

• Ray MN

Which equation is set up to find the value of n?

• n + 7 = 4n - 13

• 2n + 7 = 4n - 13

• n - 7 = 4n + 13

• 2n - 7 = 4n + 13

What is the first step in solving the equation 2n + 7 = 4n - 13?

• Multiply both sides by 2

• Divide both sides by 2

• Add 13 to both sides

• Subtract 2n from both sides

What is the final value of n after solving the equation?

• 20

• 10

• 15

• 5