It could be an obtuse triangle.
If it were a regular polygon then each of its external angles would be 180 -140 = 40 degrees.
The sum of the external angles of any polygon is 360 degrees.
So if each is 40 degrees, there must be 360/40 = 9 of them.
So the polygon is a nonagon, BUT ONLY IF IT IS A REGULAR POLYGON.
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Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
Interior angle = 140 deg so exterior angle = 40 deg. Sum of exterior angles = 360 so 360/40 = 9 such angles required. So the figure has 9 sides.
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
Each exterior angle: 40 degrees Each interior angle: 140 degrees
To find the interior angle of a polygon, you can use the formula: (n-2) * 180 / n, where n is the number of sides. For a 9-sided polygon, the formula would be (9-2) * 180 / 9, which simplifies to 7 * 180 / 9 = 1260 / 9 = 140 degrees. Therefore, the interior angle of a 9-sided polygon is 140 degrees.