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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?

A.

34 sides

B.

30 sides

C.

26 sides

D.

17 sides

E.

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.