Find the angle in degrees.

Geometry Level 4

F i n d t h e a c u t e a n g l e b e t w e e n t h e l i n e s w h o s e d i r e c t i o n c o s i n e s ( l , m , n ) s a t i s f y t h e e q u a t i o n s l + m + n = 0 a n d 2 l m + 2 l n m n = 0. Find\quad the\quad acute\quad angle\quad between\quad the\quad lines\quad whose\quad direction\\cosines\quad (l,m,n) \quad satisfy\quad the\quad equations\\ l+m+n=0\quad and\quad 2lm+2ln-mn=0.


The answer is 60.

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