360/number of sides and deduct the quotient from 180 which will give the measure of each interior 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
75.32Improved Answer:-It is: 157.5 degrees
Restate the question: how do you find the number of sides in a regular polygon if you know the measure of an interior angle? (If this is not your question, please resubmit the question with different wording.) Subtract the interior angle from 180 deg - for example 180-160 = 20. Now divide 360 by this value: 360/20 = 18. A regular polygon with interior angles of 160 degrees has 18 sides.
Its interior angles are: (10-2)*180 = 1440 degrees If its a regular 10 sided polygon then each interior angle is: 1440/10 = 144 degrees
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.
a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.
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.
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
Each interior angle: 140 degrees Each exterior angle: 40 degrees
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
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