To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

How do you find the diagonal of a decagon?

Put n=10 we get 10*7/2=35 diagonals. A decagon has 10 vertices. Thus C(10,2)=10*9/2=45 lines can be drawn out which includes 10 sides. Hence number of diagonals of a decagon=45–10=35.

How much is the exterior angle of a pentagon?

Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.