Предмет: Геометрия, автор: huramanmamedova63

Помогите пожалуйста с геометрией! Даю 100 баллов.

Найдите неизвестные углы треугольника по рисунку 90, если известно, что угол ADB равен: а) 111°; б)136°.

Только пишите текстом, а не отправляйте картинки, у меня они не открываются.

Заранее спасибо. <3

Приложения:

Ответы

Автор ответа: LN330068

Ответ:

Биссектриса АD разделила пополам угол А.

Биссектриса ВD разделила угол В пополам

Рассмотрим треугольник АDB

<ADB=111 градусов

Сумма всех углов треугольника АDB равна 180 градусов

<АDB+1/2<A+1/2<B=180 градусов

1/2<А+1/2<В=180-111=69 градусов

Тогда

<А+<В=69•2=138 градусов

<С=180-138=42 градуса

Биссектриса СD разделила <С на два равных угла

<Х=42:2=21 градус

Тоже самое и с углом 136 градусов

1/2<А+1/2<В+136=180

1/2<А+1/2<В=180-136=44 градуса

<А+<В=44•2=88 градусов

<С=180-88=92 градуса

<Х=92:2=46 градусов

Объяснение:

huramanmamedova63: СПАСИБООООООООООО!!! >33

huramanmamedova63: ♡♡♡

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