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[ammornil]

[tex]\angle{BAL}+\angle{ABL}=\angle{ALC} \Rightarrow \angle{BAL}=\angle{ALC}-\angle{ABL}=2x+52^{\circ}-3x=52^{\circ}-x\\ \angle{BAC}=\angle{BAL}+\angle{LAC}=52^{\circ}-x+x=52^{\circ}[/tex]
[tex]\angle{BAL}=\angle{LAC}=x \Rightarrow x=\frac{1}{2}\cdot{52^{\circ}}=26^{\circ} \Rightarrow \angle{ABC}=3\cdot{x}=3\cdot{26^{\circ}}=78^{\circ} \\ \angle{ACB}=180^{\circ}-(\angle{BAC}+\angle{ABC})=180^{\circ}-(52^{\circ}+78^{\circ})=\cdots[/tex]