Предмет: Геометрия, автор: aavay

четырехугольник ABCD вписан в окружность. Известно что угол B равен 83 угол A меньше угла D на 20 Найдите угол C

Ответы

Автор ответа: ildar50

Ответ: 103°.

Объяснение:

В любом вписанном четырехугольнике сумма противоположных углов равна 180°.

Пусть угол D=x°. Тогда угол А=х-20°.

83°+х°=180°.

∠D=х=180°-83°=97°.

∠А=97°-20°=77°.

∠С=180°-77°=103°.

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