Best Answer

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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Q: If the sum of interior angle of a given polygon is 4860 degrees, how many sides does the polygon have?

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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.

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

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

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

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

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.

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

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.

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.

180-interior angle = exterior angle 360/exterior angle = number of sides

x + 24375=75

48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides

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