Предмет: Геометрия, автор: Oleksandra6864

СРОЧНО!!!!!!!
Знайдіть кути опуклого пятикутника якщо вони прафіційні числам 3,4,5,7,8

Ответы

Автор ответа: ildar502020
0

Ответ:   60°. 80°. 100°. 140°. 160°.

Объяснение:

По теореме о сумме углов выпуклого многоугольника, сумма углов правильного пятиугольника равна 180º (5-2)=540º.  Тогда

3x+4x+5x+7x+8x=540°, где x - одна  часть углов пятиугольника

27x=540;

x=540/27;

x=20°.

**************

Угол 1=3x=3*20°=60°;

Угол 2=4x=4*20° = 80°;

Угол 3=5x=5*20°=100°;

Угол 4=7x=7*20°=140°;

Угол 5=8x=8*20=160°.

************

Сумма углов равна

60+80+100+140+160=540!!!

Всё верно!!!

ildar502020: Якщо питань немає, виберіть кількість зірочок і оцініть відповідь.
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