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Mathematics

The sum of interior angles of a polygon is 900°. The number of side in this polygon is:

  1. 5

  2. 7

  3. 9

  4. 11

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Answer

According to the properties of a polygon, if there are n sides, then the sum of its interior angles is (2n - 4) x 90°.

So, (2n - 4) x 90° = 900°

⇒ (2n - 4) = 900°90°\dfrac{900°}{90°}

⇒ 2n - 4 = 10

⇒ 2n = 10 + 4

⇒ 2n = 14

⇒ n = 142\dfrac{14}{2}

⇒ n = 7

Hence, option 2 is the correct option.

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