Question
Explain the following text primarily based on the surrounding page content: 2a. Sally constructed ∠AOB ∠ 𝐴 𝑂 𝐵 with OC−→− 𝑂 𝐶 → as an angle bisector of ∠AOB ∠ 𝐴 𝑂 𝐵 . If the measure of ∠AOB ∠ 𝐴 𝑂 𝐵 is 84 degrees, what is the measure of ∠AOC ∠ 𝐴 𝑂 𝐶 ? (2 points) Responses 24° ° 24degree 168° ° 168degree 42° ° 42degree 84° ° 84degree
Answers
GPT-4o mini
The text seems to be a math problem involving angles and angle bisectors. It indicates that Sally created angle AOB, and OC is the angle bisector of this angle. The measure of angle AOB is given as 84 degrees.
To find the measure of angle AOC, you need to use the property of angle bisectors. An angle bisector splits an angle into two equal parts. Therefore, if angle AOB measures 84 degrees, angle AOC, being one of the two equal parts, would measure half of 84 degrees.
Calculating this gives:
\[
\text{Measure of } ∠AOC = \frac{84°}{2} = 42°
\]
Based on the options provided:
- 24°
- 168°
- 42°
- 84°
The correct response is **42°**. This aligns with the mathematical reasoning involving the angle bisector.
To find the measure of angle AOC, you need to use the property of angle bisectors. An angle bisector splits an angle into two equal parts. Therefore, if angle AOB measures 84 degrees, angle AOC, being one of the two equal parts, would measure half of 84 degrees.
Calculating this gives:
\[
\text{Measure of } ∠AOC = \frac{84°}{2} = 42°
\]
Based on the options provided:
- 24°
- 168°
- 42°
- 84°
The correct response is **42°**. This aligns with the mathematical reasoning involving the angle bisector.