Предмет: Геометрия, автор: vlabykad1502

зовнішній кут трикутника дорівнює 124 градуси а один із не суміжних з ним внутрішніх кутів дорівнює 67 градусів.знайдіть невідомі внутрішні та зовнішні кути

Ответы

Автор ответа: PomoshnikCamomyCebe
21

Так як зовнішній кут дорівнює сумі двох інших внутрішніх кутів не суміжних з ним, маємо:

124°-67°= 57°

Отже, нам вже відомо два внутрішні кути трикутника:

Один 67° другий 57°

Тепер треба знати третій кут трикутника, це можна зробити двома способами:

1. Сума всіх кутів трикутника дорівнює 180°, отже: 180°-67°-57°= 56°

2. Зовнішній кут суміжний з одним з внутрішніх кутів. Тому їх сума дорівнює 180°. Отже: 180°-124°= 56°.

Відповідь: перший кут - 56°, другий кут - 57°, третій кут - 67°.

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