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if the sum of interior angle of a given polygon is 4860 degrees, how many sides does the polygon have?
Sum = 360 X n
Hence n = sum / 360
n = 4860/360
Cancel down by '10'
n = 486/36
Cancel down by '6'
n = 81/6
n = 13.5
Answer '14' sides/ However, the polygon is NOT a regular shape.
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How many degrees in a 10 sided polygon?
The exterior angle is given by 360 / 10 = 36 degrees. The interior angle is given by 180 - the interior angle, ie 180 - 36 = 144 degrees.
What is the interior and exterior angle of a regular 9 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=9, then the answer is that the interior angle = 140The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 9, then the answer is that the exterior angle = 40
What is the interior and exterior angle a regular 10 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=10, then the answer is that the interior angle = 144The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 10, then the answer is that the exterior angle = 36
What is the interior and exterior angle of a regular 15 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24
What are the interior and exterior angles of a regular 18 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=18, then the answer is that the interior angle = 160The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 18, then the answer is that the exterior angle = 20
One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
What is the interior angle of a irregular polygon with 9 sides?
The sum of the interior angles of any convex polygon with n sides is n * 60 degrees. Any given interior angle, however, can be anything from just greater than 0 degrees to just less than 180 degrees.
What is the name of the regular polygon whose exterior angles are twice its exterior angles?
If you mean exterior angle is twice its interior angle then an equilateral triangle will fit the given description because each interior angle is 60 degrees and each exterior angle is 120 degrees
What is the sum of the angles of a pentagon?
For interior, the angle sum is 540 degrees, for exterior, the angle sum is 1260 degrees. * * * * * Partially correct! The sum of the exterior angles of any polygon is 360 degrees. The exterior angle is the supplement of the interior angle (180 - interior), NOT the reflex angle (360- interior). So the sum given 1260, which is based on the reflex angles is incorrect.
What is the exterior angle of a regular dodecagon?
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
Name the convex polygon whose interior angle measures have each given sum -540 degrees -900 degrees -1800 degrees -2520 degrees thanks?
x + 24375=75
What is the rule to get the number of sides of a regular polygon when given the interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
