Question

find the number of sides of a regular polygon if sum of all interior angles is as shown
a 1260
b1620​

Answer 1

Answer:

(a). the number of sides is 9

(b). the number of sides is 11

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Answer 2

a. Given that sum of its interior angles is 1260. We know that for a polygon of n sides, the sum of all interior angles is given by the formula (n - 2) * 180. n = 9. Therefore the number of sides = 9.

b. Given that sum of its interior angles is 1620. We know that for a polygon of n sides, the sum of all interior angles is given by the formula (n - 2) * 180. n = 11. Therefore the number of sides = 11.

$1620 \div 180 = n - 2 \\ 9 = n - 2 \\ 9 + 2 = n \\ 11 = n$

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