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?

Question

answers
24
42
84
168
choose the correct answer please

Answer 1

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 measure of angle AOB by 2:

\[ \text{Measure of angle AOC} = \frac{\text{Measure of angle AOB}}{2} = \frac{84}{2} = 42 \text{ degrees} \]

Therefore, the measure of angle AOC is 42 degrees.