Предмет: Геометрия, автор: ayuumi

знайдіть кути чотирикутника якщо вони пропорційні числам 1,2,3,9

Ответы

Автор ответа: zmeura1204

Ответ:

24°;48°;72°;216°

Объяснение:

Сума кутів чотирикутника дорівнює 360°

Нехай градусна міра одного кута буде х°; а другого—2х°; третього —3х°; четвертого —9х°

Рівняння:

х+2х+3х+9х=360

15х=360

х=24° градусна міра одного кута.

2*24°=48° другого кута.

3*24°=72° третього

9*24°=216° четвертого.

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