Вопрос:

8) Given angle is 44 degrees. Find angle ABC.

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Ответ:

The diagram shows an inscribed angle $$\angle ABC$$. The angle 44 degrees is indicated as the measure of the arc AC.

The formula relating an inscribed angle to its intercepted arc is:

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

Given that the measure of arc AC is 44 degrees:

$$\angle ABC = \frac{1}{2} \times 44^\circ = 22^\circ$$.

The text below the diagram confirms that $$\angle ABC$$ is an inscribed angle.

Ответ: 22°

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