You use the fact that the sum of the interior angles of a regular polygon with n sides is:
180(n-2) degrees
Now you have the sum of measures of all the interior angles so divide that by n and you have the measure of each 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.
999999
40 sides
Each interior angle of the regular 8 sided octagon measures 135 degrees
It will have 10 equal sides
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.
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
Each interior angle: 140 degrees Each exterior angle: 40 degrees
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
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
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.
It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle