9) Given angle is 68 degrees. Find angle ABC.

The diagram shows an inscribed angle $$\angle ABC$$. The value 68 degrees is indicated for the arc AC.

The relationship between an inscribed angle and its intercepted arc is:

$$\angle ABC = \frac{1}{2} \times \text{measure of arc } AC$$

Given that the measure of arc AC is 68 degrees:

$$\angle ABC = \frac{1}{2} \times 68^\circ = 34^\circ$$.

The text below the diagram states "ABC - вписанный", confirming that $$\angle ABC$$ is an inscribed angle.

Ответ: 34°