Question

How many sides does a regular polygon have if each of its interior angles is 165°?Find the cube root of 10648

Answer 1

Answer:

Let there be "n" sides of the polygon.

Then, its each interior angle will be

$(\frac{(n-2)*180}{n})degree\\ \\Thus,\\\\\frac{n-2}{n}*180=165\\ \\(n-2)*180=165n\\180n-360=165n\\180n-165n=360\\15n=360\\n=24$

The cube root of 10648 is "22".

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Step-by-step explanation:

Answer 2

Answer:

24 sides

Step-by-step explanation:

180 degrees(n-2)/n= 165 degrees

'd' is for degrees

180d(n-2) = 165d * n

180n - 165 n= 360 degrees

15 degrees *n = 360 degrees

n= 360 / 15

n= 24 sides

Cube root of 10648 is 22 you have to remember this

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