Which of the following is the sum of interior angles of a regular polygon having 9 sides?

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1830°

1260°

1440°

1320°

answer is B.

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Detailed Solution

We need to fun the sum of interior angles of a regular polygon having 9 sides.
The sum of interior angle of regular polygon having n sides

= 2 n − 4 r i g h t a n g l e s .

Putting n = 9,

⇒ Sum of interior angles = 2 × 9 − 4 × 90 ° ⇒ Sum of interior angles = 18 − 4 × 90 ° ⇒ Sum of interior angles = 14 × 90 ° ⇒ Sum of interior angles = 1260 °

Therefore, sum of interior angle is 1260°.
Hence, option 2 is correct.

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