2 Answers

Tom Schreck · Answer 1 · 2021-02-01T12:31:03+0000

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:

S = (n-2) * 180

Where,

S = Sum of all interior angles

n = number of sides

From the given data:

S = 900

Therefore,

$900 = (n-2) * 180\\\\Divide\ both\ sides\ by\ 180\\\\n - 2 = 5\\\\n = 5 + 2\\\\n = 7$

The number of sides is 7

Heptagon is a seven-sided polygon or 7-gon

Therefore, the polygon is a heptagon

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