Beam OA divides the angle BOD = 120 * into two angles so that one of them is 2 times

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.