Master finding the missing angle when given an angle bisector

The video tutorial explains how to find missing angle measures using angle bisectors. It starts with a basic introduction to angle bisectors, explaining that they divide an angle into two equal parts. The tutorial then progresses through solving simple to complex angle problems, including those involving fractions. It concludes with examples of using angle bisectors in geometric shapes, emphasizing that the bisector creates two congruent angles. The video provides step-by-step solutions to various problems, reinforcing the concept of angle bisectors in geometry.

What is the primary function of an angle bisector?

• To divide an angle into two unequal parts

• To create a right angle

• To divide an angle into two equal parts

• To measure the length of a line

If an angle bisector divides an angle of 58 degrees, what is the measure of each resulting angle?

• 29 degrees

• 30 degrees

• 116 degrees

• 58 degrees

In a problem where one angle is 24 degrees and the other is expressed as 4X - 12, what is the value of X?

• 15

• 12

• 9

• 6

How do you solve an equation involving an angle bisector with fractions, such as X/2 + 17 = X - 33?

• Add the fractions directly

• Divide by 2 on both sides

• Multiply everything by 2 to eliminate the fraction

• Subtract 17 from both sides

What is the measure of angle CBZ if X = 100 in the equation X/2 + 17 = X - 33?

• 33 degrees

• 50 degrees

• 100 degrees

• 67 degrees

When dealing with shapes, what does an angle bisector imply about the angles it creates?

• They are right angles

• They are equal

• They are supplementary

• They are complementary

In the equation 4X - 16 = 2X + 6, what is the value of X?

• 10

• 9

• 11

• 12