How to calculate third point if I know 2 points and all angles into triangle?

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How to get coordinates of (x,y) of C? enter image description here

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Solve this equations: $${ \left( 10-3 \right) }^{ 2 }+{ \left( 10-4 \right) }^{ 2 }=|AB|\\ { \left( x-3 \right) }^{ 2 }+{ \left( y-4 \right) }^{ 2 }=|AC|\\ { \left( x-10 \right) }^{ 2 }+{ \left( y-10 \right) }^{ 2 }=|BC|=|AC|\\ \\ \frac { |AB| }{ \sin { (100) } } =\frac { |BC| }{ \sin { (40) } } $$ where $(x,y)$ is the coordinates of $C$.