Find the angles formed at the intersection of two straight lines if the difference between two of them is 64 °.

Given:
line AC intersects with line BE at point O,
angle AOB – angle BOS = 64 degrees.
Find the degree measures of the angle AOB and angle BOC -?
Decision:
The corners AOB and BOC are adjacent. Beam IN is their common side. Angle AOC – expanded. Let the angle BOS = x degrees, then the angle AOB = (x + 64) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 64 + x = 180;
x + x = 180 – 64;
x + x = 116
x * (1 + 1) = 116;
x * 2 = 116;
x = 116: 2;
x = 58 degrees – the degree measure of the VOC angle;
58 + 64 = 122 degrees – the degree measure of the angle AOB.
Answer: 58 degrees; 122 degrees.