Question

Can you help me with this ​

Answer 1

`140`°

Explanation:

This polygon has
`9` sides, so it's a nonagon. The expression used to find the sum of the measures of the interior angles of any polygon is
`180(n-2)`° where
`n` is the number of sides the polygon has. In this case,
`n=9`, so the sum of the measures of the interior angles of this polygon is
`180(9-2)=180*7=1260`°.

We are given that this is a regular polygon (with 9 sides), meaning that all of its interior angles have the same measure, and we also know that the sum of the measures of its interior angles is
`1260`°. Therefore, each interior angle measures
`(1260)/(9)=140`°. Hope this helps!