Предмет: Математика, автор: малышка12345678

Один из внешних углов треугольника равен 56 градусов. Углы, не смежные с данным внешним углом, относятся как 2:5. Найти наибольший из них

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Автор ответа: vitalinasoroka

наибольший получается 40 градусов.

малышка12345678: а решение?

vitalinasoroka: смежный угол второй будет 180-56=124

vitalinasoroka: сумма двух других 180-124=56

vitalinasoroka: меньший уголь берем как 2х, а больший 5х

vitalinasoroka: и уровнение 2х+5х=56

vitalinasoroka: 7х=56

vitalinasoroka: х=8

vitalinasoroka: больший угол =5х=5*8=40

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