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.
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