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maw [93]
4 years ago
10

How many side does the polygon have?

Mathematics
1 answer:
Mariana [72]4 years ago
8 0

We can do it with the equation written; we'll try that next.  I find it easier to remember the exterior angles, which are the supplements of the interior angles, add to 360 degrees.

The exterior angle is 180 - 144 = 36 degrees.   n = 360/36 = 10

Answer: 10 sides

Let's try it your way now.

\dfrac{180(n-2)}{n} = 144

180n-360 = 144 n

36n = 360

n = 10 \qquad\checkmark


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