The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?
-
A.
34 sides -
B.
30 sides -
C.
26 sides -
D.
17 sides -
E.
15 sides
Correct Answer: Option D
Explanation
Sum of interior angles in a polygon = ((2n – 4) times 90°)
(therefore (2n – 4) times 90° = 30 times 90°)
(implies 2n – 4 = 30 )
(2n = 34 implies n = 17)
The polygon has 17 sides.