How many sides does a regular polygon have if each of its interior angles is 160 degree?
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Each interior angle of regular polygon
= ( n - 2 ) × 180°
n
160° = ( n - 2 ) × 180°
n
160n = 180n - 360°
160n-180n = - 360°
- 20n = - 360°
n = - 360°
- 20
n = 18
Hence The polygon has 18 sides.
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