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Each of the interior angles of a regular polygon is 140 degrees. How many have it

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Answer:

The polygon has 9 sides, and it is a nonagon.

Explanation:

The formula to find the sum of the interior angles of a regular polygon is:

S = (n - 2) × 180

where S is the sum of the interior angles and n is the number of sides.

If each interior angle of the polygon is 140 degrees, we can use the formula to solve for n:

n = (S / 140) + 2

Plugging in S = 180(n-2) and simplifying, we get:

n = (180(n-2) / 140) + 2

n = (9n - 18) / 7

7n = 9n - 18

-2n = -18

n = 9

Therefore, the polygon has 9 sides, and it is a nonagon.

Hope this helps! I'm sorry if it's wrong. If you need more help, ask me! :]

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