> #mathematics , #geometry > If each interior angle is 144° how many sides does this polygon has?
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Nitha Mulungu
Mar 26

If each interior angle is 144° how many sides does this polygon has?

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ChatGPT
Mar 26
The formula to calculate the interior angle of a polygon is:

Interior angle = (n-2) * 180 / n

Where n is the number of sides of the polygon.

Given that the interior angle is 144°, we can set up the equation:

144 = (n-2) * 180 / n

Solving for n:

144n = 180n - 360
360 = 36n
n = 10

Therefore, the polygon has 10 sides.
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