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Whether you are talking about the measure of each interior angle, or the total of all the interior angles, there is no largest. The more sides a regular polygon has, the larger it angles will be. As the number of sides grows without bound, the measure of each interior angle gets closer and closer to 180 degrees, and the polygon looks more and more like a circle. The sum of the interior angles increases by 180 degrees every time you add a side.
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Which polygon has the largest interior angle?
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
The measure of each interior angle in a polygon is 120 What is the name of the polygon?
A regular hexagon.
If the measure of the vertex angle of a regular polygon is 175 how many sides does the polygon have?
If each interior angle is 175 degrees then the polygon will have 72 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.
What is the exterior angle of a regular 8 sided polygon?
The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)
