Diameters AD and BC are drawn in a circle with center o, angle OAB is 36 degrees. Find the angle BOD.

Since points A, B, C D lie on a circle, the angle DAB – inscribed, rests on the arc BD.

AD – continuation of the side of the angle ОАВ, means <DAB = 36 °

BOD corner – central, rests on the BD arc.

The degree measure of the central angle is twice the degree measure of the inscribed angle,

resting on the same arc.

Means: <BOD = 2 * <DAB = 2 * 36 ° = 72 °.

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