Предмет: Геометрия, автор: matvejkirpicev5

На рисунке прямые a и b параллельны. Найдите угол1, если угол 1:угол 3=5:13.

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Ответы

Автор ответа: cistakov377

1) Угол 1 относится к углу 2 как 5:13.

Возьмём одну часть за х.

Т.к. эти прямые параллельны, то 1+3(углы) = 180° (по свойству параллельных прямых).

Составим уравнение:

5х+13х=180

18х=180

х=10

Значит, угол 1 = 5*10=50°

Ответ: угол 1 равен 50°

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