The polygon is a heptagon whose interior measure is 900 degrees
Solution:
The formula for calculating the sum of the measures of the interior angles of a polygon is:
[tex]S = (n-2) \times 180[/tex]
Where,
S = Sum of all interior angles
n = number of sides
From the given data:
S = 900
Therefore,
[tex]900 = (n-2) \times 180\\\\Divide\ both\ sides\ by\ 180\\\\n - 2 = 5\\\\n = 5 + 2\\\\n = 7[/tex]
The number of sides is 7
Heptagon is a seven-sided polygon or 7-gon
Therefore, the polygon is a heptagon
Answer:
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Step-by-step explanation:
