Consider three lines as follows.
`L_1:5x-y+4=0`
`L_2:3x-y+5=0`
`L_3: x+y+8=0`
If these lines enclose a triangle `A B C`
and the sum of the squares of the tangent to the interior angles can be
expressed in the form `p/q ,`
where `pa n dq`
are relatively prime numbers, then the value of `p+q`
is
500 (b) 450
(c) 230 (d)
565
A. 500
B. 450
C. 230
D. 465