The bisector of the angle makes an angle of 68 degrees with the side. Find the given corner, and the corner adjacent to it.

Given:
angle AOC,
OA – bisector,
angle AOB = 68 degrees,
the angle KOA adjacent to the angle AOB.
Find the degree measure of the angle AOC and AOK -?

Decision:
Consider the AOC angle. Ray OA is the bisector of this angle. Therefore, the angle AOB = angle BOC = 68 degrees, then the angle AOC = 2 * 68 = 136 degrees.
The sum of the degree measures of adjacent angles is 180 degrees.
Then the angle KOA = 180 is the angle AOA;
angle KOA = 180 – 136;
angle KOA = 44 degrees.
Answer: 136 degrees; 44 degrees.