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# Interior Angle Question

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"The value (in degrees) of each of the interior angles of a regular n-gon is represented by x. Write an inequality that describes the minimum value of x." I don't understand what process you're supposed to use, if someone could help that would be great.

Oct 17, 2017

#1
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The value (in degrees) of each of the interior angles of a regular n-gon is represented by x. Write an inequality that describes the minimum value of x." I don't understand what process you're supposed to use, if someone could help that would be great.

Huh??   There is no inequality.

There is however a formula

The interior angle sum of any polynomial is     (n-2)*180     degrees     WHERE  n is the number of sides

This is easy to show pictorially, starting with a triangle and then adding sides and finding the number pattern.

so the angle size of one internal angle of a regular polygon is

\(\boxed{angle=\dfrac{180(n-2)}{n}}\)

In your question the angle is called x

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Oct 17, 2017
edited by Melody  Oct 17, 2017
#2
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It says to set up the inequality like this:

x is greater then or equal to ______
and I have to fill in this blank with my answer. Any chance you could add anything?

Guest Oct 17, 2017
#3
+97581
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It is a stupid question but I suppose you could add that x >=60

It is 60 for a regular triangle so it is obviously bigger than that for any other regular polygon.

Melody  Oct 17, 2017