Предмет: Математика, автор: yuniskhasiyev09

В треугольнике ABC биссектрисы углов A и B пересекаются в точке К и угол AKB- угол ACB=55 найдите угол AKB

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Автор ответа: sokotdima2

0

Ответ:

Для нахождения угла AKB, нам нужно знать значения углов A и B, а также точку пересечения биссектрис. В условии дано, что точка пересечения биссектрис находится в точке K, и угол AKB равен 55 градусам.

Так как биссектрисы пересекаются в точке K и угол AKB равен 55 градусам, то угол AKB = 55 градусов.

А так как биссектрисы пересекаются в точке K, то сумма углов AKC и BKC равна 180 градусов.

Угол AKC и угол BKC дополняют друг друга до угла AKB, поэтому:

AKC + BKC = AKB

AKC + BKC = 180 - 55 = 125 градусов

Угол AKC = угол AKB - угол BKC = 125 - 55 = 70 градусов.

Таким образом, угол AKC равен 70 градусам.

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