Given:
Number of sides of polygon = 6
Let's find the sum of the measures of the interior angles in the polygon.
To find the sum of the interior angles, apply the formula:
![S=(n-2)*180](https://img.qammunity.org/2023/formulas/mathematics/college/6oyb11lgchd3q1yv4g0fbj31j7jl1dxhss.png)
Where:
n is the number of sides.
Here, n = 6
Thu, we have:
![\begin{gathered} S=(6-2)*180 \\ \\ S=(4)*180 \\ \\ S=720^o \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gsmxu2kzz69mzza5h5afh2iubm9d80ykh1.png)
Therefore, the sum of the measure of interior angles in the figure is 720 degrees.
ANSWER:
720 degrees