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Is It Possible to Have a Polygon Whose Each Interior Angle is 124°? - Mathematics

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प्रश्न

Is it possible to have a polygon whose each interior angle is 124°?

योग

उत्तर

Given each interior angle = 124°
So, each exterior angle = 180° - 124° = 56°
Thus, the number of sides of the polygon

= `(360°)/"Each exterior angle"`

= `(360°)/(56°)`

= `6(3)/(7)`

which is not a natural number
Therefore, no polygon is possible whose each interior angle is 124°.

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Names of Polygons
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 18: Rectilinear Figures - Exercise 18.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 18 Rectilinear Figures
Exercise 18.1 | Q 17.1
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