The OD beam divides the AOB angle into two angles. Find the degree measure of the angle AOB

The OD beam divides the AOB angle into two angles. Find the degree measure of the angle AOB if the angle AOD = 40 DOB = 65

Given:
angle AOB,
the OD beam divides the angle AOB into two angles,
angle AOD = 40 degrees,
DOB angle = 65 degrees.
Find the degree measure of the angle AOB -?
Solution:
Since the OD beam divides the angle AOB into two angles AOD and DOB. This ray is the common side of the angle AOD and angle DOB. Therefore, the degree measure of the angle AOB will be equal to:
angle AOB = angle AOD + angle DOB;
angle AOB = 40 + 65;
angle AOB = 105 degrees.
Answer: Angle AOB = 105 degrees.



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