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Question

Three line segments share a single vertex point labeled upper O. One of the line segments divides the angle formed by the other two into two equal angles. These angles are represented with arcs intersected by dashes.

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

(1 point)
The m∠AOC
is
degrees.
Remaining Attempts : 3

Answer 1

Since ray OC is the angle bisector of ∠AOB and ∠AOB measures 74 degrees, we can find the measurement of ∠AOC by dividing the measure of ∠AOB by 2.

$$m\angle AOC=\frac{m\angle AOB}{2}=\frac{74\text{ degrees}}{2}=37\text{ degrees}$$

Therefore, the measure of ∠AOC is 37 degrees.