The AOB angle is 140 degrees, the beam OC is the bisector of the angle AOB, and the beam OK
| July 5, 2021 | education
The AOB angle is 140 degrees, the beam OC is the bisector of the angle AOB, and the beam OK is the bisector of the angle AOC. What is the degree measure of the angle KOB?
The OS beam divides the AOB angle into two equal angles:
Angle AOC = Angle BOC = 140 °: 2 = 70 °.
The OK beam divides the AOC angle into two equal angles:
AOK angle = KOC angle = 70 °: 2 = 35 °.
Corner KOB consists of two corners:
KOB angle = KOC angle + BOC angle.
The KOC angle = 35 °, the BOC angle = 70 °, so the KOB angle = 36 ° + 70 ° = 105 °.
Answer: the degree measure of the angle KOB is 105 °.
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