Answer:
Thus, the number of sides: n ≈ 13 (rounded to the nearest whole number).
Step-by-step explanation:
We know that the formula of the sum of the measures of the interior angles of a polygon
Sum = (n-2) × 180°
where
n is the number of sides
In your case, since the sum of the interior angles is 1930°, then
1930° = (n-2) × 180°
so we can determine the number of sides n, such as
1930 / 180 = n-2
[1930 / 180] + 2 = n
n ≈ 12.7
If 12.7 rounded to the nearest whole number, then
n ≈ 13
Thus, the number of sides: n ≈ 13 (rounded to the nearest whole number).
