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How many sides does a regular polygon have if each of its interior angles is degree?
To find the number of sides ( n ) of a regular polygon given that each of its interior angles is ( x ) degrees, you can use the formula for the interior angle: ( \text{Interior Angle} = \frac{(n-2) \times 180}{n} ). Setting this equal to ( x ) and solving for ( n ), you get ( n = \frac{360}{180 - x} ). Thus, if you know the value of ( x ), you can determine the number of sides.
What else can I help you with?
How many sides does a polygon have when the measure of each interior angle is 144?
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
If the sum of the interior angles of the regular polygon measure up to 1440 degree . how many sides does the polygon have?
It will have (1440+360)/180 = 10 sides which is a decagon
Which polygon has a measurement of 72 degree of the interior angles?
triangle
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 regular polygon have if its each angle is of measure 108 degree?
If each of its interior angles is a measure of 108 degrees then it will have 5 sides and is called a regular pentagon.
What shape has 45 degree interior angles?
There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.
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.
What polygon has the interior angles of 150 degrees?
A regular 12 sided polygon each interior angle measures 150 degrees
How many Sides does a polygon have with 175.2 degree angles?
If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides
How many sides does a polygon have when the measure of each interior angle is 144?
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
If the sum of the interior angles of the regular polygon measure up to 1440 degree . how many sides does the polygon have?
It will have (1440+360)/180 = 10 sides which is a decagon
Is a concave polygon is regular?
By definition a regular polygon cannot be concave. Concave polygons contain one or more interior angles that are greater than 180 degrees, and regular polygons can never have an interior degree greater than 180 degrees.
Is there a regular polygon with angles of 158 degree?
Nope, sorry honey. A regular polygon has all interior angles equal, so if one angle is 158 degrees, all angles would have to be 158 degrees. But the sum of interior angles in a polygon is (n-2)*180 degrees, where n is the number of sides. So for a regular polygon with angles of 158 degrees, you'd need n=11 sides, which doesn't work because a regular polygon must have at least 3 sides.
Which polygon has a measurement of 72 degree of the interior angles?
triangle
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 angle sum for a 5 sided polygon?
540 degree for the interior angles
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
