Angle Bisector Techniques and Applications

What does an angle bisector do?

• Divides a circle into two equal parts

• Divides an angle into two unequal parts

• Divides a line segment into two equal parts

• Divides an angle into two congruent angles

If OB bisects angle A and the measure of angle AOB is 102°, what is the measure of angle BOC?

• 90°

• 51°

• 102°

• 204°

What is the total measure of angle AOC if OB bisects it and each resulting angle is 102°?

• 90°

• 51°

• 204°

• 102°

If OB bisects angle AOC and the total measure of angle AOC is 56°, what is the measure of angle BOC?

• 28°

• 56°

• 14°

• 112°

Given OB bisects angle AOC and the measure of angle BOC is 28°, what is the measure of angle AOB?

• 112°

• 56°

• 28°

• 14°

If B is 2x and B is also 28°, what is the value of x?

• 7

• 28

• 14

• 56

If OB bisects angle AOC and the measure of angle AOB is 5x - 7, what is the measure of angle BOC if it is given as 3x + 1?

• None of the above

• They are equal

• 3x + 1

• 5x - 7

Solve for x if 5x - 7 = 3x + 1.

• x = 2

• x = 3

• x = 4

• x = 1

If x = 4, what is the measure of angle AOB given by 5x - 7?

• 15

• 20

• 13

• 12

If half of angle AOC is 13°, what is the total measure of angle AOC?

• 52°

• 39°

• 26°

• 13°