Between the sides of the BOC angle equal to 160 degrees, the ray OK passes, find the angle BOK
| September 2, 2021 | education
Between the sides of the BOC angle equal to 160 degrees, the ray OK passes, find the angle BOK if the difference between the angles BOK and KOC is 48 degrees.
BOK + KOC = BOC.
BOK + KOC = 160.
BOK = 160 – KOC.
According to the condition of the problem, we will compose another equation:
BOK – KOC = 48.
Substitute the expression for the angle BOK:
160 – KOC – KOC = 48.
2 * KOC = 160 – 48.
KOC = 112/2 = 56.
BOK = 160 – 56 = 104 degrees.
Answer: 104 degrees.
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