Вопрос:

2) Given angle is 50 degrees. Find angle ABC.

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Ответ:

The diagram shows an inscribed angle $$\angle ABC$$ and an arc AC. The measure of arc AC is given as 50 degrees.

The relationship between an inscribed angle and its intercepted arc is that the inscribed angle is half the measure of the intercepted arc.

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

Given that the measure of arc AC is 50 degrees, then $$\angle ABC = \frac{1}{2} \times 50^\circ = 25^\circ$$.

The text below the diagram reads "

Ответ: 25°

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