Pregunta
Numeric 1 point Find the sum of the measures of the interior angles of each convex polygon: 180(n - 2) 23 -gon Type your answer.. 5 Numeric 1 point
Ask by Chadwick Dunn. in the United States
Feb 03,2025
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The sum of the interior angles of a 23-gon is 3780 degrees.
Solución
The sum of the measures of the interior angles of a convex 23-gon is calculated using the formula:
\[
\text{Sum} = 180(n - 2)
\]
Where \( n \) is the number of sides. For a 23-gon:
\[
\text{Sum} = 180(23 - 2) = 180 \times 21 = 3780 \text{ degrees}
\]
**Answer:**
3780
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To find the sum of the measures of the interior angles of a 23-gon, you can use the formula 180(n - 2). Here, n is the number of sides of the polygon, which in this case is 23. Plugging in the values, we compute: Sum = 180(23 - 2) = 180(21) = 3,780 degrees. So, the sum of the measures of the interior angles of a 23-gon is 3,780 degrees!
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