একটি সমদ্বিবাহু ত্রিভুজের দুটি সমান কোণের প্রত্যেকটি তৃতীয় কোণের দ্বিগুণ হলে, তৃতীয় কোণের পরিমাপ কত নির্ণয় করুন।

This question was previously asked in
RRB ALP CBT I 29 Aug 2018 Shift 2 Official Paper
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  1. 45°
  2. 36°
  3. 72°
  4. 90°

Answer (Detailed Solution Below)

Option 2 : 36°
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প্রদত্ত:

একটি সমদ্বিবাহু ত্রিভুজের দুটি সমান কোণ তৃতীয় কোণের দ্বিগুণ

অনুসৃত ধারণা:

একটি ত্রিভুজে, সমস্ত কোণের সমষ্টি 180°

গনণা:

ধরা যাক, তৃতীয় কোণটি x ডিগ্রি

সুতরাং, অন্য দুটি কোণ হল 2x ডিগ্রি

তাই,

 x + 2x + 2x = 180°

⇒ 5x = 180°

⇒ x = 36°

সুতরাং, তৃতীয় কোণ হল 36°

 নির্ণেয় উত্তর হল 36°

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