Question
Javier constructed LAOB with ray OC as an angle bisector of LAOB. If the measure of LAOB is 74 degrees, what is the measurement of LAOC?
Answers
GPT-4o mini
To find the measurement of angle LAOC, we can use the fact that ray OC is an angle bisector of angle LAOB. This means that it splits the angle LAOB into two equal parts.
Given that the measure of angle LAOB is 74 degrees, we can calculate the measure of angle LAOC as follows:
\[
\text{Measure of LAOC} = \frac{1}{2} \times \text{Measure of LAOB} = \frac{1}{2} \times 74^\circ = 37^\circ.
\]
Therefore, the measurement of angle LAOC is \( \boxed{37} \) degrees.
Given that the measure of angle LAOB is 74 degrees, we can calculate the measure of angle LAOC as follows:
\[
\text{Measure of LAOC} = \frac{1}{2} \times \text{Measure of LAOB} = \frac{1}{2} \times 74^\circ = 37^\circ.
\]
Therefore, the measurement of angle LAOC is \( \boxed{37} \) degrees.