Providing that it is a regular polygon then subtract 162 from 180 which is 18 and then divide this into 360 which is 20.
So it has 20 sides
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.
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
A pentagon has a total interior angle sum of 540 degrees. Since a pentagon has five sides, you can find the measure of each interior angle by dividing the total angle sum by the number of sides, resulting in an average interior angle of 108 degrees.
It will have 3 sides and it is an equilateral triangle
It would have 6 sides.
If one interior angle is 165 degrees, find the number of sides of the polygon.
there is no fix formula for this..........you have to check that what is given to you in the question. According to the given you have to find the 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.
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.
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
40 sides
It would have 6 sides.
It will have 3 sides and it is an equilateral triangle
A polygon with each interior angle measuring 180 degrees is a regular octagon. In a regular octagon, all the sides are the same length and all the interior angles are the same. Therefore, since each interior angle is 180 degrees, the number of sides is 8. You can use the formula n - 2, where n is the number of sides, to find the number of sides for any regular polygon. In this case, n - 2 = 8 - 2 = 6. Since 6 is the number of sides, the polygon is an octagon.
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.
To find the interior angle of any polygon. Exterior Angle = 360 / n ( the number of sides) Interior angle = 180 - exterior angle. So for a decagon ( 10 sides) Ext angle = 360 / 10 = 36 Int angle = 180 - 36 = 144.