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1. The angles of a pentagon are in ratio 9 : 10 : 12 : 14 : 15. What is the sum of measures of the smallest and largest angles?

  • A. 54 °
  • B. 54 °
  • C. 54 °
  • D. 54 °

Answer: Option D

Explanation:

 দেওয়া আছে পঞ্চভুজের 5 টি কোণের অনুপাত= 9:10:12:14:15 অনুপাতগুলোর যোগফল=9+10+12+14+15=60 আবার, আমরা জানি পঞ্চভুজের 5 টি কোণের সমষ্টি =560°∴ সবচেয়ে বড় ও সবচেয়ে ছোট কোণদ্বয়ের সমষ্টি=9+1560×540°=2460×540°=216°

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