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360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle

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Q: What is the formula to find the interior angle for a regular polygon?
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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 measures of the interior angles of a regular polygon if each exterior angle measures 72?

The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.


What is the measure of an interior angle of a regular polygon of 12 sides?

There is a formula which can help.The sum of the interior angles of a polygon is 2n - 4 right angles.When n = 12 then the interior angles total (2 x 12) - 4 = 24 - 4 = 20 right angles.Then for a regular polygon, each angle measures (20 x 90) / 12 = 150°.When the polygon is a regular polygon then it is perhaps quicker to calculate the external angle from which the interior angle can then be determined.Exterior angle = 360 /12 = 30°Interior angle = 180 - 30 = 150°


How do you measure sides of a regular polygon if each interior angle is 120?

A regular polygon with each interior angle measuring 120 degrees is a hexagon.


If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?

The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.

Related questions

What is the interior and exterior angle of a regular polygon?

Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.


How many sides does a regular polygon if its interior angles are 270?

No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.


How many sides are in a regular polygon with an interior angle of 172.5?

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


What is the formula to find the measure of each interior angle of a regular polygon?

that's geometry so the formula to find the measure of each interior angle of a regular polygon is: Ia=stands for internal angle Ia=(n-2)180 ---------- n that's the formula.


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


Is there a formula for finding the measure of interior angle of a regular polygon?

Yes and it is: sum of interior angles/number of sides


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


What does an interior angle of a regular polygon equal?

The formula for calculating the TOTAL of the interior angles of an n-sided polygon is: Angle Sum = 180 (n-2) degrees So for a regular polygon, each of the identical interior angles will be 180(n-2)/n The equivalent formula is 180 - (360/n), where 360/n is a single exterior angle, supplementary.


If the exterior angle of a regular polygon is 20 what is the interior angle of this polygon?

160


What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?

The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.