একটি কোণের সম্পূরক কোণের মান কোণটির পূরক কোণের মানের তিন গুণের থেকে 15° অধিক। কোণটির মান কত? 

This question was previously asked in
RRC Group D Previous Paper 42 (Held On: 16 Oct 2018 Shift 3)
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  1. 57.5°
  2. 65°
  3. 52.5°
  4. 72.5°

Answer (Detailed Solution Below)

Option 3 : 52.5°
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প্রদত্ত:

একটি কোণের সম্পূরক কোণের মান কোণটির পূরক কোণের মানের তিন গুণের থেকে 15° অধিক।

অনুসৃত ধারণা:

এই প্রকারের প্রশ্নে, কোণের সম্পূরক কোণ = 180° – x,

কোণের পূরক কোণের মান = 90° – x

গণনা:

ধরা যাক কোণটির মান হল x°

প্রশ্নানুসারে,

180° – x = 3(90° – x) + 15°

⇒ 180° – x° = 270° – 3x° + 15°

⇒ 2x = 105

⇒ x = 52.5

∴ কোণটির মান হল 52.5°
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