Verified Answer :

JeanaShupp

Answer: \(4320^{\circ}\)

Step-by-step explanation:

The sum of  the interior angles of a polygon  with n sides is given by :-

\((n-2)\times180^{\circ}\)

Given: n=26

Then, the sum of  the interior angles of a polygon with 26 sides is given by :-

\((26-2)\times180^{\circ}\\\\=24\times180^{\circ}\\\\=4320^{\circ}\)

Hence, the sum of the angle measures in a 26-gon=\(4320^{\circ}\)

Sum of the angle measures in the given polygon (26-gon) is 4,320°

Sum of interior angle:

What information do we have?

Number of side = 26

Sum of the angle measures in a polygon = (n - 2)180

By putting n = 26

  • Sum of the angle measures in a 26-gon = (26 - 2)180
  • Sum of the angle measures in a 26-gon = (24)180
  • Sum of the angle measures in a 26-gon = 4,320°

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