adiTLDS adiTLDS
  • 30-09-2020
  • Mathematics
contestada

Find the number of sides of a polygon if the sum of interior angles is 10 right
angles.

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hskshskh hskshskh
  • 30-09-2020
USE SOCRATIC ITS REALLY HELPS
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mirai123
mirai123 mirai123
  • 30-09-2020

Answer:

The number of sides is 7

Step-by-step explanation:

Once the sum of interior angles is equal to 900º and the sum of interior angles is given by

[tex]S=(n-2) \cdot 180\º, \text{ as }n \text{ being the number of sides}[/tex]

[tex]900\º = (n-2) \cdot 180\º[/tex]

[tex]\dfrac{900\º}{180\º} = (n-2)[/tex]

[tex]5 = (n-2)[/tex]

[tex]5+2 = n-2+2[/tex]

[tex]\boxed{n=7}[/tex]

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