Вопрос:

Градусная мера дуги АСВ равна 252°. Найди угол ∠ACB.

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Ответ:

The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. The arc intercepted by angle ACB is arc AB. The measure of the entire circle is 360°. Therefore, the measure of arc AB is 360° - 252° = 108°. The measure of angle ACB is half the measure of arc AB, which is 108° / 2 = 54°.
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