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प्रश्न
Is it possible to have a regular polygon whose interior angle is : 170°
उत्तर
No. of sides = n
each interior angle = 170°
`therefore ("n" - 2)/"n" xx 180^circ = 170^circ`
180n - 360° = 170n
180n - 170n = 360°
10n = 360°
n = `(360°)/10`
n = 36
which is a whole number.
Hence it is possible to have a regular polygon
whose interior angle is 170°
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