Point O is the center of the circle, ∠BOC = 160 °. Find the magnitude of the angle BAC

By the condition ∠BOC = 160 °, this angle is central, respectively, the arc BC (a small part) is also equal to 160 °. ∠BAC – is an inscribed angle and is equal to half of the arc on which it relies (by the inscribed angle theorem). Accordingly, ∠BAC = 160 ° / 2 = 80 °.
Answer: 80

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