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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.
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CoachAh, let's paint a happy little picture of a 9-sided polygon, also known as a nonagon. To find the interior angle of a regular nonagon, we use the formula (n-2) * 180 degrees / n, where n is the number of sides. So for a nonagon, it would be (9-2) * 180 degrees / 9, giving us an interior angle of 140 degrees. Isn't that just delightful?
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What is the exterior angle of a 9 sided polygon?
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
What is the angle sum for a 9 sided polygon?
1620
Each interior angle of a regular polygon is 140 How many sides has the polygon?
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.
What is the number of sides of a regular polygon if one angle measures 140 degrees?
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.
A polygon has interior angle 165 degrees how many sides has it?
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
