In a circle centered at point O, diameters AD and BC are drawn, the angle OAB is 36. Find BOD.

The angle OAB is equal to the value of the inscribed angle DAB, which rests on the arc BD, then the degree measure of the arc is 36 * 2 = 72.

The central angle BOD also rests on the arc BD, then the angle BOD is equal to the degree measure of the arc BD. Angle BOD = 72.

Answer: The BOD angle is 72.



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