To find the measure of the exterior angle \(x\), we can use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. In this case, we have two interior angles measuring \(75^\circ\) and \(55^\circ\).
Using the formula: \[ x = 75^\circ + 55^\circ \] Calculate: \[ x = 130^\circ \]
Thus, the measure of the exterior angle \(x\) is: \[ x = 130^\circ \]