Using the fact that the angle at the center of a circle is twice the angle at the circumference subtended by the same arc, we can determine the measure of angle ABC.
Since angle AOC is 62 degrees, angle ACB (which is subtended by the same arc as angle AOC) will be half of 62 degrees, which is 31 degrees.
Therefore, angle ABC is 180 degrees - (angle AOC + angle ACB) = 180 - (62 + 31) = 87 degrees.