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.
The measurement of ∠AOC is 37 degrees.
Based on the given information, we know that ray OC bisects angle AOB. This means that angle AOC is divided into two equal angles.
Since the measure of angle AOB is 74 degrees, we can conclude that each of the two equal angles formed by ray OC is 74 degrees divided by 2, which gives us 37 degrees.
Therefore, the measurement of angle AOC is 37 degrees.