0
What else can I help you with?
How do you find the interior angle degree of a polygon?
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
How many sides does a 3240 degree polygon have?
To find the number of sides in a polygon based on its degree measure, you can use the formula that relates the interior angle sum to the number of sides: the sum of the interior angles of an n-sided polygon is given by ( (n-2) \times 180 ) degrees. For a polygon with a total interior angle measure of 3240 degrees, you set up the equation: ( (n-2) \times 180 = 3240 ). Solving for n gives ( n = 20 ). Therefore, a polygon with a total interior angle measure of 3240 degrees has 20 sides.
What is a shape with an interior angle of 171?
A shape with an interior angle of 171 degrees is a polygon, specifically one with a high number of sides. For instance, a polygon with 171-degree interior angles could be a 12-sided polygon (dodecagon) or any polygon with more than 12 sides. The interior angle can be calculated using the formula ((n-2) \times 180/n), where (n) is the number of sides, and 171 degrees indicates that the polygon must have at least 12 sides to accommodate such an angle.
Why do you use the number 2 to find the sum of the interior angle of a polygon?
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
Can a regular polygon have interior angle of 30 degrees?
the formula for the total number of degrees in a polygon is (x=number of sides) (x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30 solve for x and you get x=2.4 you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees
How do you find the interior angle degree of a polygon?
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
What is the number of sides of a regular polygon where each interior angle is 140 degree greater than each interior angle?
18
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
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.
How many sides does a 3240 degree polygon have?
To find the number of sides in a polygon based on its degree measure, you can use the formula that relates the interior angle sum to the number of sides: the sum of the interior angles of an n-sided polygon is given by ( (n-2) \times 180 ) degrees. For a polygon with a total interior angle measure of 3240 degrees, you set up the equation: ( (n-2) \times 180 = 3240 ). Solving for n gives ( n = 20 ). Therefore, a polygon with a total interior angle measure of 3240 degrees has 20 sides.
How do you find a number of sides of a polygon with the measure of its interior angle?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
How many sides does a polygon have with interior angles of 45 degrees?
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
What is a shape with an interior angle of 171?
A shape with an interior angle of 171 degrees is a polygon, specifically one with a high number of sides. For instance, a polygon with 171-degree interior angles could be a 12-sided polygon (dodecagon) or any polygon with more than 12 sides. The interior angle can be calculated using the formula ((n-2) \times 180/n), where (n) is the number of sides, and 171 degrees indicates that the polygon must have at least 12 sides to accommodate such an angle.
How many sides does a 72 degree polygon have?
To find the number of sides in a regular polygon with a given interior angle, you can use the formula: ( n = \frac{360}{180 - \text{angle}} ). For a polygon with a 72-degree interior angle, this would be ( n = \frac{360}{180 - 72} = \frac{360}{108} ), which simplifies to ( n = \frac{360}{108} = \frac{10}{3} ), approximately 3.33. Since the number of sides must be a whole number, a polygon cannot have an interior angle of 72 degrees, indicating that the angle pertains to a different context in polygon geometry.
How many measurements does a polygon have?
A polygon has two types of measurements: side lengths and interior angles. The number of side lengths is equal to the number of sides the polygon has, while the number of interior angles is always equal to the number of sides. So, a polygon has two measurements: side lengths and interior angles.
Why do you use the number 2 to find the sum of the interior angle of a polygon?
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
If the sum of an interior angle measures of a polygon is 1080 degree's how many sides does the polygon have?
The sum of the interior angles of a polygon is 2n - 4 right angles - where n is the number of sides. So, 1080° = 1080/90 = 12 right angles If 2n - 4 = 12 then 2n = 16 : n = 8 The number of sides is 8.
