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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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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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The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. Stocks closed in the red Friday as investors weighed upbeat remarks from Russian President Vladimir Putin about diplomatic discussions with Ukraine against a weaker-than-expected print on U.S. consumer sentiment. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress.
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