Answer:
Sum of all the interior angles = 900°
Each angle ≅ 128.57° (rounded to the nearest hundredth)
Explanation:
The sum of the interior angles of a polygon can easily be found by using the following formula...
Sum of all the interior angles = 180°(n - 2)
In that formula "n" equals the number of sides a polygon has so in our case
n = 7
So now we know that the sum of all angels equals...
180°(n - 2) = 180° (7 - 2) = 180° (5) = 900°
From here we can easily find the measure of each angle since there is a rule that states that in a regular polygon all angles are equal to each other, so we just have to divide the sum of all interior angles by the number of interior angles, and so we get...
900° / 7 ≅ 128.57 (rounded to the nearest hundredth).