Предмет: Геометрия, автор: karnaval1226p

Дам 50 балов срочно дам 50 балов
Промінь ВМ – бісектриса кута АВС. Промінь ВК проходить між сторонами
кута АВС. Відомо, що ∠КВС = 40°, ∠КВМ = 10°. Знайдіть кут АВС.

Ответы

Автор ответа: youlixlep
1

Ответ:

Для знаходження кута АВС, нам спершу потрібно знайти значення кута КВС. Ми вже знаємо, що ∠КВС = 40°.

Також нам дано, що промінь ВМ є бісектрисою кута АВС. Означає, що кути АВК і ВКМ дорівнюють одна одній, тобто ∠АВК = ∠ВКМ.

Отже, ∠АВК = ∠ВКМ = 10°.

Тепер ми можемо знайти кут АВС, використовуючи властивість суми кутів в кутовій мірі:

∠АВС = ∠АВК + ∠КВС = 10° + 40° = 50°.

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