Question

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

Answer 1

9 Sides

Explanation:

According to the Question,

• Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)