Respuesta :
Answer: [tex]4320^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by :-
[tex](n-2)\times180^{\circ}[/tex]
Given: n=26
Then, the sum of the interior angles of a polygon with 26 sides is given by :-
[tex](26-2)\times180^{\circ}\\\\=24\times180^{\circ}\\\\=4320^{\circ}[/tex]
Hence, the sum of the angle measures in a 26-gon=[tex]4320^{\circ}[/tex]
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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