One of the corners formed at the intersection of two straight lines is 70 more than the other, find these corners.

Given:
straight lines BE intersects with AC at point O,
angle AOB = angle BOC + 70 degrees.
Find the degree measures of the angle AOB and angle BOC -?
Decision:
The corners AOB and BOC are adjacent.
Let the angle BOS = x degrees, then the angle AOB = (x + 70) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 70 = 180;
x + x = 180 – 70;
x + x = 110;
x * (1 + 1) = 110;
x * 2 = 110;
x = 110: 2;
x = 55 degrees – the degree measure of the VOC angle;
55 + 70 = 125 degrees is the degree measure of the AOB angle.
Answer: 55 degrees; 125 degrees.



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