Each exterior angle of a regular polygon with n sides is 360/n degrees.
So, for a decagon, it would be 360/10 = 36 degrees.
Chat with our AI personalities
You cannot. An exterior angle of a decagon can have any value.
To work this out, all the external angles of any shape add up to 360°, so all we need to do to work the external angle out is divide 360° by the number of sides giving us a sum of 360 divided by 8 sides = 45°; so now we have the exterior angle we can easily find the internal angle, we do this by subtracting the external angle which in the case of an octagon is 45° from 180° thus giving us 135°, of course this is only going to work on a regular shape with equal sides as an irregular shape is going to have different angles but will still total 360°.The interior angle of a regular octagon is 135° and the external 45°.By tash2010
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
Exterior angles of ANY regular n-sided polygon are 360/n degrees. Where n is 5 this gives 72 deg.
To work out the number of sides, this polygon has to be a regular polygon in which all the interior angles are the same A regular polygon has exterior angles of 10o, therefore it must have interior angles of 180o - 10o = 170o Total interior angles = (Number of sides - 2)x180o Therefore each interior angle = [(Number of sides - 2)x180o]/Number of sides n = number of sides 170o = [(n-2)x180o]/n 170no = 180no-360o 360o = 10no n = 360o/10o n = 36