Question

Sally constructed ∠AOB with OC−→− as an angle bisector of ∠AOB . If the measure of ∠AOB is 84 degrees, what is the measure of ∠AOC ? (4 points) Responses 84° 84degree 42° 42degree 168° 168degree 24°

Answer 1

Since \( OC \) is the angle bisector of \( \angle AOB \), it divides \( \angle AOB \) into two equal angles. Given that the measure of \( \angle AOB \) is \( 84^\circ \), we can find the measure of \( \angle AOC \) by dividing \( 84^\circ \) by \( 2 \):

\[
\angle AOC = \frac{1}{2} \times 84^\circ = 42^\circ
\]

Therefore, the measure of \( \angle AOC \) is \( 42^\circ \).

The correct response is **42°**.