Question
Find each value.
- Sum of the measures of an 11-gon
Ask by Franklin Hodgson. in the United States
Mar 21,2025
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Tutor-Verified Answer
Answer
The sum of the interior angles of an 11-gon is
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Beyond the Answer
To find the sum of the interior angles of an 11-gon, we can use the formula: (n - 2) × 180°, where n is the number of sides. For an 11-gon, that would be (11 - 2) × 180° = 9 × 180° = 1620°. So the sum of the measures of the interior angles of an 11-gon is 1620°.
Now, if you’re ever puzzled about polygons again, remember that with every additional side, you add an extra 180° to the overall angle sum! So next time you’re working on a polygon with more sides, just subtract 2 from n and multiply by 180° for quick angle-sum calculations!
