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Giải bài 2 trang 50 vở thực hành Toán 8

Cho hình thang cân ABCD (AB // CD) có AB = AD. Biết \(\widehat {ABD} = 30^\circ \), tính số đo góc của hình thang đó.

⭕Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

🌺Cho hình thang cân ABCD (AB // CD) có AB = AD. Biết \(\widehat {ABD} = 30^\circ \), tính số đo góc của hình thang đó.

Phương pháp giải - Xem chi tiết

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Lời giải chi tiết

🐻(H.3.15). Tam giác ABD có AB = AD nên ∆ABD cân tại A, do đó \({\widehat D_1} = \widehat {ABD} = 30^\circ .\)

🦩Vì AB // CD nên \({\widehat D_2} = \widehat {ABD} = 30^\circ .\) (hai góc so le trong); suy ra \(\widehat {ADC} = {\widehat D_1} + {\widehat D_2} = 60^\circ .\)

▨Vì ABCD là hình thang cân nên \(\widehat C = \widehat {ADC} = 60^\circ ,\widehat A = 180^\circ  - \widehat {ADC} = 120^\circ  = \widehat {ABC}.\)

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