একটি সাধারণ বহুভুজের প্রতিটি অন্তঃস্থ কোণ 135° হলে, বহুভুজের কর্ণের সংখ্যা নির্ণয় করুন।

  1. 12
  2. 14
  3. 16
  4. 20

Answer (Detailed Solution Below)

Option 4 : 20
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সাধারণ বহুভুজের প্রতিটি অন্তঃস্থ কোণ 135°,

⇒ বহিঃস্থ কোণ = 180 ° - অন্তঃস্থ কোণ = 45°

⇒ বহুভুজের বাহুর সংখ্যা = 360°/বহিঃস্থ কোণ = 8

∴ কর্ণের সংখ্যা = n(n - 3)/2 = 8 × (8 - 3)/2 = 20, এখানে n একটি বহুভুজের বাহুর সংখ্যা।

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