One of the adjacent angles is 34 degrees larger than the other. find these corners.

Adjacent angles are angles in which one side is common, and the other two lie on the same straight line and are a flat angle. The degree measure of the unfolded angle is 180º.

Since the sum of the degree measures of adjacent angles is also equal to 180º, and one of them is 34º larger than the other, then we express:

x is the degree measure of the angle AOC;

x + 34 – degree measure of the angle ∠СОВ;

x + x + 34 = 180;

x + x = 180 – 34;

2x = 146;

x = 146/2 = 73;

∠АС = 73º;

∠СOВ = 73º + 34º = 107º.

Answer: the angle АС is equal to 73º, the angle ∠СОВ is equal to 107º.