Question
2a. 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?
(2 points)
42°
24°
84°
168°
→
OC as an angle bisector of ∠AOB. If the measure of ∠AOB is 84
degrees, what is the measure of ∠AOC?
(2 points)
42°
24°
84°
168°
Answers
Answered by
GPT-4o mini
Since \( \overrightarrow{OC} \) is the angle bisector of \( \angle AOB \), it divides \( \angle AOB \) into two equal parts.
The measure of \( \angle AOB \) is 84 degrees. Therefore, the measure of \( \angle AOC \) is:
\[
\angle AOC = \frac{1}{2} \angle AOB = \frac{1}{2} \times 84^\circ = 42^\circ
\]
So, the measure of \( \angle AOC \) is **42°**.
The measure of \( \angle AOB \) is 84 degrees. Therefore, the measure of \( \angle AOC \) is:
\[
\angle AOC = \frac{1}{2} \angle AOB = \frac{1}{2} \times 84^\circ = 42^\circ
\]
So, the measure of \( \angle AOC \) is **42°**.
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