You cannot. An interior angle of a 16-sided polygon can have any value.
However, IF the polygon is regular, then each of its exterior angles is 360/16 = 22.5 degrees. The interior angle, being a supplementary angle to the exterior angle, will be 180-22.5 = 157.5 degrees.
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.
75.32Improved Answer:-It is: 157.5 degrees
To apply the law of cosines to find the measure of an interior angle in a triangle, you need to know the lengths of all three sides of the triangle. Specifically, if you have sides ( a ), ( b ), and ( c ), you can use the formula ( c^2 = a^2 + b^2 - 2ab \cos(C) ) to solve for the angle ( C ). Thus, knowing the side lengths is sufficient to determine the 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
999999
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.
40 sides
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.
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
a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.
75.32Improved Answer:-It is: 157.5 degrees
The lengths of all three sides of the triangle APEX:)
To apply the law of cosines to find the measure of an interior angle in a triangle, you need to know the lengths of all three sides of the triangle. Specifically, if you have sides ( a ), ( b ), and ( c ), you can use the formula ( c^2 = a^2 + b^2 - 2ab \cos(C) ) to solve for the angle ( C ). Thus, knowing the side lengths is sufficient to determine the interior angle.
Since interior angle+exterior angle=180 degrees We can find out the exterior angle by doing 180-140=40 degrees. To find out the number of sides we simply do 360/40=9 So the polygon has 9 sides.
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.