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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

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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.


If one interior angle is 165 degrees find the number of sides of the polygon?

If one interior angle is 165 degrees, find the number of sides of the polygon.


The number of sides of a regular polygon is 7. Find the measure of each interior angle of the polygon?

a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.


The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?

AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon


What do you do to find the interior angle of a polygon?

The interior angle of a polygon in degrees is 180*(n-2)/n, where n is the number of sides of the polygon. In radians, it is pi*(n-2)/n.


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 do you find out how many sides a shape has using the interior angle?

To find the number of sides ( n ) of a polygon using its interior angle ( A ), you can use the formula for the interior angle of a regular polygon: ( A = \frac{(n-2) \times 180}{n} ). Rearranging this equation, you get ( n = \frac{360}{180 - A} ). By substituting the known value of the interior angle ( A ), you can calculate the number of sides ( n ) of the polygon.


If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?

40 sides


What are the number of sides of a regular polygon with interior angle 172 degrees?

To find the number of sides ( n ) of a regular polygon with an interior angle of 172 degrees, we can use the formula for the interior angle of a regular polygon: [ \text{Interior Angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 172 degrees gives: [ \frac{(n-2) \times 180}{n} = 172 ] Solving for ( n ), we find ( n = 22 ). Therefore, a regular polygon with an interior angle of 172 degrees has 22 sides.


How do you find a exterior angle?

180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle


What is the formula to find the interior angle for a regular polygon?

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


How do you find the interior angle of a polygon?

The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have the sum, divide by the number of sides to find an individual angle.