One of the adjacent angles is 35 degrees smaller than the other. Find these corners.

Given:
angle AOB and angle BOC are adjacent,
angle AOB = angle BOC + 35 degrees
Find the degree measures of the angle AOB and angle BOS -?
Decision:
Consider the adjacent corners AOB and BOS. Beam IN is their common side. Angle AOC – expanded. Let the angle BOC = x degrees, then the angle AOB = x + 35 degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 35 + x = 180;
x + x = 180 – 35;
x + x = 145;
x * (1 + 1) = 145;
x * 2 = 145;
x = 145: 2;
x = 72.5 degrees – the degree measure of the VOC angle;
72.5 + 35 = 107.5 degrees is the degree measure of the AOB angle.
Answer: 72.5 degrees; 107.5 degrees.