The sum of an interior angles of a regular polygon is 30 right angles. How
MATHEMATICS
WAEC 1993
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
Correct Answer: D. 17 sides
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.
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