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Giải bài 7 trang 81 SGK Toán 7 tập 1 - Chân trời sáng tạo

Quan sát Hình 19 và cho biết: a) Vì sao m // n?

🌼Tổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Chân trời sáng tạo

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

Quan sát Hình 19 và cho biết: a) Vì sao m // n? b) Số đo x của góc \(\widehat {ABD}\) là bao nhiêu?

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

*Hai đường thẳng cùng vuông góc với 1 đường thẳng thì song song với nhau *Sử dụng tính chất 2 đường thẳng song song: Một đường thẳng cắt hai đường thẳng song song thì: + 2 góc so le trong bằng nhau + 2 góc đồng vị bằng nhau

Lời giải chi tiết

a) Vì m và n cùng vuông góc với CD nên m // nb) Ta có: \(\widehat {{A_2}} + \widehat {{A_1}} = 180^\circ  \Rightarrow 120^\circ  + \widehat {{A_1}} = 180^\circ  \Rightarrow \widehat {{A_1}} = 180^\circ  - 120^\circ  = 60^\circ \)Vì m // n nên \(\widehat {{A_1}} = \widehat {ABD}\) ( 2 góc so le trong) nên \(\widehat {ABD}\) = 60\(^\circ \)Vậy x = 60\(^\circ \)

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