let a, b, c be Element of COMPLEX ; ( angle (a,b,c) = PI implies angle (c,b,a) = PI )
assume A1:
angle (a,b,c) = PI
; angle (c,b,a) = PI
then
(angle (a,b,c)) + (angle (c,b,a)) = 0 + (2 * PI)
by Th94, COMPTRIG:21;
hence
angle (c,b,a) = PI
by A1; verum