Question

Find the missing angle measures. 156 n 122 143 110° 108

Answer 1

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;

`\begin{gathered} 180(n-2) \\ \\ \text{Here, n = 6} \\ \\ 180(6-2) \\ \\ 180(4)\text{ = 720 } \end{gathered}`

So, when we add all the angles, the total measure should be 720

Thus, we have;

`\begin{gathered} n\text{ + 156 + 122 + 143 + 108 + 110 = 720} \\ \\ n\text{ + 639 = 720} \\ \\ n\text{ = 720-639} \\ \\ n\text{ = 81} \end{gathered}`