The difference between adjacent angles is 168 degrees. Find these corners.

Given:
angle AOB and angle BOC are adjacent,
angle AOB – angle BOC = 168 degrees.
Find the degree measures of the angle AOB and angle BOS -?
Decision:
Consider the adjacent corners AOB and BOS. Let the angle BOC = x degrees, then the angle AOB = x + 168 degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 168 + x = 180;
x + x = 180 – 168;
x + x = 12;
x * (1 + 1) = 12;
x * 2 = 12;
x = 12: 2;
x = 6 degrees – the degree measure of the VOC angle;
6 + 168 = 174 degrees is the degree measure of the AOB angle.
Answer: 6 degrees; 174 degrees.



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