6) Given angle is 76 degrees. Find angle ABC.

The diagram shows an inscribed angle $$\angle ABC$$. The value 76 degrees is shown as the measure of 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 76 degrees:

$$\angle ABC = \frac{1}{2} \times 76^\circ = 38^\circ$$.

The text below the diagram reads "

Ответ: 38°