Question

Javier constructed ∠AOB
∠
𝐴
𝑂
𝐵
with ray OC
𝑂
𝐶
as an angle bisector of ∠AOB
∠
𝐴
𝑂
𝐵
. If the measure of ∠AOB
∠
𝐴
𝑂
𝐵
is 74 degrees, what is the measurement of ∠AOC
∠
𝐴
𝑂
𝐶
?

(1 point)
The m∠AOC
𝑚
∠
𝐴
𝑂
𝐶
is degrees.

Answer 1

Since ray OC is the angle bisector of ∠AOB, it divides the angle into two equal parts.

Given that the measure of ∠AOB is 74 degrees, we can find the measure of ∠AOC as follows:

\[
m∠AOC = \frac{m∠AOB}{2} = \frac{74^\circ}{2} = 37^\circ
\]

Therefore, the measurement of ∠AOC is 37 degrees.

So,

m∠AOC is 37 degrees.