Ray OX bisects angle AOC and angle AOX =42 degrees, angle AOC is:

42 degrees
84 degrees
21 degrees
68 degrees

21

42

84

To find the measure of angle AOC, we can use the property of angle bisectors. When a ray bisects an angle, it divides the angle into two congruent angles.

Since angle AOX is bisected by ray OX, angle AOX is divided into two equal angles. One of these angles is 42 degrees.

Therefore, the measure of angle AOC is twice the measure of one of the angles formed by the bisector.

So, angle AOC = 2 * 42 degrees = 84 degrees.

Therefore, the correct answer is 84 degrees.