The measure of angle n is 81 degrees
Here, we want to find the measure of the missing angle labeled n
Firstly, we need to know the measure of the total interior angle of the polygon
The polygon has 6 sides
Mathematically, the sum of the interior angles of a polygon can be calculated using the equation;
[tex]\begin{gathered} 180(n-2) \\ \\ \text{Here, n = 6} \\ \\ 180(6-2) \\ \\ 180(4)\text{ = 720 } \end{gathered}[/tex]
So, when we add all the angles, the total measure should be 720
Thus, we have;
[tex]\begin{gathered} n\text{ + 156 + 122 + 143 + 108 + 110 = 720} \\ \\ n\text{ + 639 = 720} \\ \\ n\text{ = 720-639} \\ \\ n\text{ = 81} \end{gathered}[/tex]
