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Giải bài 3 trang 50 vở thực hành Toán 8

Tính số đo các góc của tứ giác ABCD trong Hình 3.16.

🗹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

Tính số đo các góc của tứ giác ABCD trong Hình 3.16.

Phương pháp giải - Xem chi tiết

Sử dụng tính chất của tam giác cân và định lí tổng các góc của một tam giác, tứ giác.

Lời giải chi tiết

🐬Tam giác ABD cân tại A nên \(\widehat A = 180^\circ  - 2\widehat {ABD} = 100^\circ .\)

ꦆTa có \(\widehat {ADC} = 120^\circ ;\widehat {ADB} = 40^\circ \) nên \(\widehat {BDC} = 80^\circ .\)

🦋Tam giác CBD cân tại C nên \(\widehat C = 180^\circ  - 2\widehat {BDC} = 20^\circ .\)

✃Tứ giác ABCD có \(\widehat B = 360^\circ  - 120^\circ  - 20^\circ  - 100^\circ  = 120^\circ .\)

Chú ý. 🌸Có thể thấy \(\widehat B = \widehat {ABD} + \widehat {DBC} = 40^\circ  + 80^\circ .\)

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