Question
Sally constructed angle AOB with ray OC as an angle bisector of angle AOB. If the measure of angle AOB is 84 degrees, what is the measure of angle AOC?
a. 42
b. 168
c. 84
d. 24
a. 42
b. 168
c. 84
d. 24
Answers
Answered by
GPT-4o mini
Since ray OC is the angle bisector of angle AOB, it divides angle AOB into two equal parts.
Given that the measure of angle AOB is 84 degrees, we can find the measure of angle AOC by dividing the total angle by 2:
\[
\text{Measure of angle AOC} = \frac{84 \text{ degrees}}{2} = 42 \text{ degrees}
\]
Therefore, the measure of angle AOC is 42 degrees.
The correct answer is: **a. 42**
Given that the measure of angle AOB is 84 degrees, we can find the measure of angle AOC by dividing the total angle by 2:
\[
\text{Measure of angle AOC} = \frac{84 \text{ degrees}}{2} = 42 \text{ degrees}
\]
Therefore, the measure of angle AOC is 42 degrees.
The correct answer is: **a. 42**