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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Sum of interior angles in a polygon = \((2n - 4) \times 90^\circ\)
\(\therefore (2n - 4) \times 90^\circ = 30 \times 90^\circ\)
\(\implies 2n - 4 = 30 \)
\(2n = 34 \implies n = 17\)
The polygon has 17 sides.
Source: Myschool Past Questions Archive (Record #23206)