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The sides B C ,C A and A B of a triang...

The sides `B C ,C A` and `A B` of a triangle `A B C ,` are produced in order, forming exterior angles `/_A C D ,/_B A E` and `/_C B F` . Show that `/_A C D+/_B A E+/_C B F=360^0`

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`x+y+z=180^@`
`x+/_BAE=180^@`
`y+/_CBF=180^@`
`z+/_ACD=180^@`
`(x+y+z)+/_BAE+/_CBF+/_ACD=540^@`
`/_BAE+/_CBF+/_ACD=540-180=360^@`.
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