You're Just My X

Geometry Level 3

Find the value of xx between 0 and 180 such that

tan(120x)=sin120sinxcos120cosx.\tan({ 120 }^{ \circ }-x^{ \circ })=\frac { \sin{ 120 }^{ \circ }-\sin x^{ \circ } }{ \cos{ 120 }^{ \circ }-\cos x^{ \circ }}.

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