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Find the Number of Sides in a Regular Polygon, When Each Interior Angle Is: 135° - Mathematics

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प्रश्न

Find the number of sides in a regular polygon, when each interior angle is: 135°

योग

उत्तर

Each interior angle of a regular polygon

= `(("n" - 2) xx 180°)/"n"`

⇒ `(("n" - 2) xx 180°)/"n"` = 135°

⇒ 180°(n - 2) = 135°(n)
⇒ 4(n - 2) = 3n
⇒ n = 8.

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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 4.3
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