Question

Constructing Angles Practice
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Question
Use the image to answer the 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.

Answer 1

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

The measure of ∠AOC is:

\[
m∠AOC = \frac{m∠AOB}{2} = \frac{74 \text{ degrees}}{2} = 37 \text{ degrees}.
\]

So, the m∠AOC is **37 degrees**.