Question 844237: The sum of the interior angles of a regular polygon is 30 right angles. How many sides it has? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! 30 right angles is equal to 30 * 90 = 2700 degrees.
the sum of the angles of a regular polygon is given by the formula:
(n-2) * (180) = sum of the interior angles of a polygon.
this formula becomes:
(n-2) * 180 = 2700
divide both sides of this equation by 180 to get:
n-2 = 15
add 2 to both sides of this equation to get:
n = 17
the number of sides is equal to 17.
(17-2) * 180 = 15 * 180 = 2700.
this confirms the solution is good.
