Given an angle measure solve for the missing variable ex 2

The video tutorial explains the concept of an angle bisector, which divides an angle into two congruent angles. It sets up a problem involving a large angle and its bisected smaller angles, providing their measurements in terms of a variable B. The tutorial then demonstrates how to solve for B by setting up an equation based on the given angle measurements and solving it step-by-step. The final solution shows that B equals 8, illustrating the use of angle bisectors in solving geometric problems.

What is the primary function of an angle bisector?

• To create a right angle

• To divide an angle into two unequal parts

• To divide an angle into two congruent angles

• To measure the length of an angle

If the measure of angle HJK is given as 7B - 24, and one of the smaller angles is 2B, what is the relationship between these angles?

• The smaller angle is half of the large angle

• The sum of the smaller angles equals the large angle

• The smaller angle is twice the large angle

• The smaller angle is unrelated to the large angle

What equation is formed to solve for B in the given problem?

• 2B = 7B - 24

• 2B + 2B = 7B - 24

• 4B = 7B - 24

• B + 2B = 7B

How do you isolate the variable B in the equation 4B = 7B - 24?

• Add 7B to both sides

• Subtract 4B from both sides

• Subtract 7B from both sides

• Add 24 to both sides

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

• B = 12

• B = 10

• B = 8

• B = 6