Divide the sum by 180 and add two to that number. That will give you n.
An interior angle of a heptagon can have any value in the range (0, 360) degrees - other than 180 degrees.
The interior angle of a dodecagon is not 1260 that is of a nonagon * * * * * The interior angle of a dodecagon can have any value in the range (0, 360). The only restriction is that the sum of all 12 interior angles (which need not be equal) is 1800 degrees.
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees. So, with n = 13, the sum of the interior angles is 11*180 = 1980 degrees. However, any particular interior angle can have any value between 0 and 360 degrees, (not inclusive of those limits). It is only in the case of a REGULAR polygon that the value of the interior angle can be determined without additional information. So, if the 13-polygon is regular, then each interior angles is 1980/13 = 1524/13 or 152.3077 degrees.
The largest angle of a trapezium can be any value just less than 180 degrees.
An exterior angle of a triangle can have a value between (but not including) 0 to 180 degrees.
An interior angle of a heptagon can have any value in the range (0, 360) degrees - other than 180 degrees.
An interior angle of a convex heptagon can have any value in the range (0, 180) degrees.
An interior angle of a quadrilateral can have any value in the range (0, 360) degrees excluding 180 degrees. The only constraint is that the four interior angles sum to 360 degrees.
An interior angle of a 16-gon can have any value from 0 to 360 degrees - with the exception of 180 degrees.
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.
Any value between 0 and 360 degrees (excluding 180 degrees).
You measure it. An interior angle of an ordinary polygon can have any value in the range (0, 360) degrees excluding 180 degrees. There is no constraint on the size of a single angle.
An interior angle of a heptagon can have ANY value between 0 and 360 degrees.
An interior angle of a 31-gon can have any value in the range (0, 360) degrees - excluding 180 degrees. The only limitation is that the sum of the interior angles is 5220 degrees.
To find the number of sides ( n ) of a polygon given its interior angle, we use the formula for the interior angle of a regular polygon: [ \text{Interior angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 5940, we can rearrange and solve for ( n ). However, since 5940 is an unusually high angle, it suggests that the polygon is not regular or has been misinterpreted, as typical interior angles of polygons do not exceed 180 degrees. Thus, please check the angle value again, as standard polygons do not have an interior angle of 5940 degrees.
To solve for the exterior angle of a triangle, use the Exterior Angle Theorem, which states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. To apply this, identify the exterior angle and the two corresponding interior angles. Simply add the measures of those two interior angles together to find the value of the exterior angle. For example, if the interior angles are 40° and 60°, the exterior angle would be 40° + 60° = 100°.
The interior angle of a dodecagon is not 1260 that is of a nonagon * * * * * The interior angle of a dodecagon can have any value in the range (0, 360). The only restriction is that the sum of all 12 interior angles (which need not be equal) is 1800 degrees.