Предмет: Геометрия, автор: anjuhgsveta

две точки делят окружность в отношении 3 и 7.
Найдите угол,образованный касательными , проведенный через эти точки

Ответы

Автор ответа: H0lyPancake

∠1 и ∠2 - градусные меры полученных дуг.
∠1:∠2=3:7=3х:7х ⇒ 10х=360°,
х=36°,
∠1=3х=108°, ∠2=7х=252°.
Искомый угол между касательными: ∠α=(∠2-∠1)/2=(252-108)/2=72°
Отает:72

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