Beam OA divides the angle BOD = 120 * into two angles so that one of them is 2 times larger than the other Find the angles AOB and AOD
By condition, it is specified that the OA ray divides the angle BOD = 120 degrees into two angles, so that one of them is 2 times larger than the other. Therefore, it is necessary to designate the angle through the variable x. Let the AOB angle be x degrees, then the AOB angle is 2x degrees. Let’s write the equation:
x + 2x = 120;
3x = 120;
x = 120: 3;
x = 40 (degrees) – AOB angle.
The AOD angle is 2 * 40 = 80 degrees.
Answer: AOB angle is 40 degrees, AOD angle is 80 degrees.
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