A triangle is formed by the lines whose equations are \( A B: x+y-5=0, B C: x+7 y-7=0 \) and \( ...

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A triangle is formed by the lines whose equations are \( A B: x+y-5=0, B C: x+7 y-7=0 \) and \( C A: 7 x+y+14=0 \).
\( P \)
Then
(1) angle at \( A \) is acute
(2) angle at \( C \) is acute
(3) internal angle bisector at angle \( B \) is \( 3 x+6 y-16=0 \)
(4) external angle bisector at angle \( C \) is \( 8 x+8 y+7=0 \)
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