The sum of an interior angles of a regular polygon is 30 ...
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
Correct answer is 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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