Предмет: Геометрия, автор: qsakdr

В ромбе ABCD угол a равен 36 градусов. Найдите угол между диагональю BD и стороной DC.

Ответы

Автор ответа: developerfin

По свойству углов ромба (углы попарно равны):
угол A = углу С = 36⁰
угол D = углу B = (360⁰-36⁰-36⁰)/2 = 144⁰
По свойству диагоналей ромба (диагонали ромба являются биссектрисами его углов):
угол BDC = 1/2*уголD = 1/2*144⁰ = 72⁰

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