The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?
- 34 sides
- 30 sides
- 26 sides
-
17 sides
- 15 sides
The correct answer is: 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.