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Nguyễn Hoài Anh
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Nguyễn Thị Thùy Dương
25 tháng 11 2015 lúc 16:06

Giả sử tam giác ABC có các góc ngoài là : A1 ; B1 ;C1

Ta có 

A1+A =180

B1+B =180

C1+C =180

=> (A1+B1+C1) + (A+B+C) =3.180

Mà A+B+C = 180

=> A1+B1+C1 = 3.180 -180 =2.180 =4.90

Hoàng Phúc
25 tháng 11 2015 lúc 16:10

goi 3 goc trong tam giac do la A;B;C

goc ngoai la:A1;B1;C1

ta có:A1+A=180 do;B1+B=180 do;C1+C=180 do

=>....

Luyen Hoang Khanh Linh
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Pham Trong Bach
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Cao Minh Tâm
26 tháng 7 2018 lúc 18:16

Giải sách bài tập Toán 7 | Giải sbt Toán 7

Ta có: ∠(A1 ) +∠(A2 ) =180o(hai góc kề bù)

∠(B1 ) +∠(B2 ) =180o(hai góc kề bù)

∠(C1 ) +∠(C2 )=180o(hai góc kề bù)

Suy ra: ∠(A1 ) +∠(A2 ) +∠(B1) +∠(B2 ) +∠(C1 ) +∠(C2 ) = 180º + 180º + 180º =540o

⇒∠(A2 ) + ∠( B2 ) +∠(C2 ) =540o-(∠(A1 ) +∠(B1 ) +∠(C1 ) ) (1)

Trong ΔABC, ta có:

∠(A1 ) +∠(B1 ) +∠(C1 ) =180o (tổng ba góc trong tam giác) (2)

Từ (1) và (2) suy ra: ∠(A2 ) +∠(B2 ) +∠(C2 ) =540o-180o=360o

dsfdsf
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Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:31

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Lucy Fairy Tall
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Thuha
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Miko
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Nguyễn Đình Dũng
3 tháng 11 2016 lúc 12:51

Gọi 3 góc ngoài ở 3 đỉnh của 1 tam giác lần lượt là A1;B1;C1 còn A2;B2;C2 là góc trong của tam giác.

Ta có:

A1 + A2 = 180o

B1 + B2 = 180o

C1 + C2 = 180o

=> A1+B1+C1+A2+B2+C2 = 360o

Mà A2 + B2 + C2 = 180o (tổng 3 góc trong của tam giác)

=> A1+B1+C1 = 360o-180o=180o.2 = 360o

Quân Nguyễn Anh
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uuttqquuậậyy
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Nguyễn Thị Thùy Dương
30 tháng 10 2015 lúc 15:50

\(A+A_1+B+B_1+C+C_1=3.180\)

Mà A+B+C=180=> \(A_1+B_1+C_1=360\)

Thanh Hiền
30 tháng 10 2015 lúc 15:43

Câu hỏi tương tự nha ! Kéo xuống là thấy !!! 

tích nha

Trần Lê Hà Vy
30 tháng 10 2015 lúc 15:46

vì một góc ngoài bằng tổng 2 góc trong cộng lại thì 3 góc ngoài nhân lên bằng 3600(tick nha)