Mathematics
The sum of all interior angles of a regular polygon is 1260°; then the number of sides in the polygon is.
7
6
9
8
Geometrical Shapes
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Answer
It is given that the sum of all interior angles of a regular polygon is 1260°.
According to the properties of a polygon, if there are n sides, the sum of its interior angles is (2n - 4) x 90°.
⇒ (2n - 4) x 90° = 1260°
⇒ (2n - 4) =
⇒ 2n - 4 = 14
⇒ 2n = 14 + 4
⇒ 2n = 18
⇒ n =
⇒ n = 9
Hence, option 3 is the correct option.
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