\( \begin{array}{ll}43 & \text { Dati } \\ \widehat{B}-\widehat{C}=43^{\circ} & \widehat{A}=\text { ? } \widehat{B}=\text { ? } \widehat{C}=\text { ? } \\ \widehat{B}+\widehat{C}=143^{\circ} & \end{array} \)

Let's solve the angles step by step! We know that \( \widehat{B} - \widehat{C} = 43^{\circ} \) and \( \widehat{B} + \widehat{C} = 143^{\circ} \). We can set up a system of equations. 1. From \( \widehat{B} + \widehat{C} = 143^{\circ} \): Let's say \( \widehat{C} = \widehat{B} - 43^{\circ} \). 2. Substitute this into the second equation: \[ \widehat{B} + (\widehat{B} - 43) = 143 \] \[ 2\widehat{B} - 43 = 143 \] \[ 2\widehat{B} = 186 \] \[ \widehat{B} = 93^{\circ} \]. 3. Now, substituting back to find \( \widehat{C} \): \[ \widehat{C} = 93 - 43 = 50^{\circ} \]. 4. We can now find \( \widehat{A} \) using the fact that the sum of angles in a triangle is \( 180^{\circ} \): \[ \widehat{A} + \widehat{B} + \widehat{C} = 180 \] \[ \widehat{A} + 93 + 50 = 180 \] \[ \widehat{A} = 180 - 143 = 37^{\circ} \]. In conclusion, the angles are: \( \widehat{A} = 37^{\circ} \), \( \widehat{B} = 93^{\circ} \), \( \widehat{C} = 50^{\circ} \).