Pregunta
Find each value.
- Sum of the measures of an 11-gon
Ask by Franklin Hodgson. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum of the interior angles of an 11-gon is
.
Solución
- An
-gon has a sum of interior angles given by the formula
For an 11-gon, substitute
:
Thus, the sum of the measures 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!

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