Find the central angle AOB if it is 39 degrees greater than the inscribed angle ACB resting on the same arc.

According to the theorem, the central angle is twice the inscribed angle resting on the same arc. From the condition of the problem, we know that the central angle is 39 ° greater than the inscribed angle, that is, half of the central angle is 39 °. The central angle of the AOB is twice as large, that is, it is equal to 78 °.



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