KalynW710991 KalynW710991
  • 28-10-2022
  • Mathematics
contestada

"Find the sum of the measure of the interior angles and the sum of the measures of the exterior angles of the polgon."

Find the sum of the measure of the interior angles and the sum of the measures of the exterior angles of the polgon class=

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YaslinA156003 YaslinA156003
  • 28-10-2022

In this case, the polygon has 12 sides, then, we can use the following general rule for the sum of interior angles of a polygon with n sides:

[tex]S=180\cdot(n-2)[/tex]

then, we have:

[tex]S=180(12-2)=180(10)=1800[/tex]

therefore, the sum of interior angles is 1800.

Also, as a general rule for any polygon, the sum of exterior angles is 360 degrees

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