Answer:
![m\angle S=78^(\circ)](https://img.qammunity.org/2020/formulas/mathematics/high-school/58uk1px1lm2nczeruxnj6zqelx2ait21h8.png)
Explanation:
We have been given that △MNP≅△QST. We are asked to find the measure of angle S.
Since both angles are congruent, so measure of their corresponding angles would be equal.
![m\angle M=m\angle Q](https://img.qammunity.org/2020/formulas/mathematics/high-school/6a8ud7ud5vmyz54dyo8m9n3zzl45km3b36.png)
![m\angle N=m\angle S](https://img.qammunity.org/2020/formulas/mathematics/high-school/6tzrveoidirdbpr5ctde1xcv0rx1hp7mc3.png)
![m\angle P=m\angle T](https://img.qammunity.org/2020/formulas/mathematics/high-school/qyidun2yea3z3gbrxrz3g1kkcnpqgua1pd.png)
Since angle S corresponds to angle N and measure of angle N is 78 degrees, therefore, measure of angle S is 78 degrees as well.