Points B, C and K lie on a circle with center O. Find the angle BOC if the angle BKC = 74 degrees.
| June 22, 2021 | education
the angle BОC is central, therefore it is equal to the arc on which it rests.
BKC and BOC, both corners rest on the same arc, only BKC is apex on the arc.
This means that the BOC is <2 times the BOC angle.
Then it turns out that the angle BOC is equal to:
BOC = 2 * BKC;
BOC = 148.
Answer: BOC = 148.
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