Given:
The figure of a triangle.
To find:
The exterior angle of the triangle m∠NPI.
Solution:
According to the exterior angle theorem, value of exterior angle of a triangle is equal to the sum of the opposite interior angles.
Using the exterior angle theorem, we get
![m\angle NPI=65^\circ+78^\circ](https://img.qammunity.org/2022/formulas/mathematics/high-school/f8inohpata1p01p9dgzp8bgyfrr2is98e8.png)
![m\angle NPI=143^\circ](https://img.qammunity.org/2022/formulas/mathematics/high-school/fw6ynellzip5e4d74qkcsrjryd354g4gmp.png)
Therefore, the measure of angle NPI is 143 degrees.