The sum of an interior angles of a regular poly... - WAEC Mathematics 1993 Question
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 option: d
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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