Find adjacent corners if one of them is 2 times larger than the other?

Given:
angle AOB and angle BOC are adjacent,
angle AOB = 2 * angle BOC.
Find the degree measures of the angle AOB and angle BOC -?
Decision:
Consider the adjacent corners AOB and BOC. Let the degree measure of the AOB angle be x degrees, then the degree measure of the AOB angle is 2 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
2 * x + x = 180;
x * (2 + 1) = 180;
x * 3 = 180;
x = 180: 3;
x = 60 degrees – the degree measure of one of the adjacent angles of the ВOC angle;
60 * 2 = 120 degrees – the degree measure of one of the adjacent angles of the AOB angle.
Answer: 60 degrees; 120 degrees.



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