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Київська міська олімпіада 2025, 2 тур, 7.4

Нехай 𝐵𝐸 і 𝐶𝐹 − медіани △ 𝐴𝐵𝐶, 𝐺 − точка їх перетину. На відрізках 𝐺𝐹 та 𝐺𝐸 знайшлися точки 𝐾 і 𝐿 відповідно такі, що 𝐵𝐾=𝐶𝐿=𝐴𝐺. Доведіть, що ∠𝐵𝐾𝐹 +∠𝐶𝐿𝐸 =∠𝐵𝐺𝐶.

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Київська міська олімпіада 2025, 2 тур, 7.4

Нехай 𝐵𝐸 і 𝐶𝐹 − медіани △ 𝐴𝐵𝐶, 𝐺 − точка їх перетину. На відрізках 𝐺𝐹 та 𝐺𝐸 знайшлися точки 𝐾 і 𝐿 відповідно такі, що 𝐵𝐾=𝐶𝐿=𝐴𝐺. Доведіть, що ∠𝐵𝐾𝐹 +∠𝐶𝐿𝐸 =∠𝐵𝐺𝐶.

Вадим Соломка

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Anastasia Vlasova/Getty Images "Someone posing as a Ukrainian citizen just joins the chat and starts spreading misinformation, or gathers data, like the location of shelters," Tsekhanovska said, noting how false messages have urged Ukrainians to turn off their phones at a specific time of night, citing cybersafety. He floated the idea of restricting the use of Telegram in Ukraine and Russia, a suggestion that was met with fierce opposition from users. Shortly after, Durov backed off the idea. On Feb. 27, however, he admitted from his Russian-language account that "Telegram channels are increasingly becoming a source of unverified information related to Ukrainian events." Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress.
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