Mathematics

The sum of an interior angles of a regular polygon is 30 right angles. How…

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: Option 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.