The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?
Answer Details
The sum of the interior angles of a polygon with n sides is given by the formula (n - 2) x 180 degrees. Since a right angle is equal to 90 degrees, 30 right angles is equal to 30 x 90 = 2700 degrees. Thus, we can set up the equation:
(n - 2) x 180 = 2700
Solving for n:
n - 2 = 15
n = 17
Therefore, the polygon has 17 sides, so the answer is (d) 17 sides.