The polygon is a heptagon whose interior measure is 900 degrees
Solution:
The formula for calculating the sum of the measures of the interior angles of a polygon is:
![S = (n-2) * 180](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bfa1lsuqoy2kkpdqym0oqkygs0kripigs5.png)
Where,
S = Sum of all interior angles
n = number of sides
From the given data:
S = 900
Therefore,
![900 = (n-2) * 180\\\\Divide\ both\ sides\ by\ 180\\\\n - 2 = 5\\\\n = 5 + 2\\\\n = 7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3o0ff93ob0wste9o8kif9m9d63ww9j8f7i.png)
The number of sides is 7
Heptagon is a seven-sided polygon or 7-gon
Therefore, the polygon is a heptagon