Angle AOB = 140 degrees. The OC beam is the bisector of the AOB angle, and the OC beam is the bisector of the AOC

Angle AOB = 140 degrees. The OC beam is the bisector of the AOB angle, and the OC beam is the bisector of the AOC angle. What is the degree measure of the angle KOB

Since the OC beam is the bisector of the AOB angle, we calculate the degree measures of the AOC and BOC angles:

140 °: 2 = 70 ° – AOC angle and BOC angle.

Since OK is the bisector of the AOC angle, we calculate the degree measures of the AOK and КOС angles:

70 °: 2 = 35 °.

The KOВ angle consists of two angles: the KOС angle and the СOВ angle, which means that it is equal to the sum of their values:

Angle KOВ = KOС + ВOС = 35 ° + 70 ° = 105 °.

Answer: the KOВ angle is 105 °