ఒక సంపూరక కోణం దాని పూరక కోణం యొక్క మూడు రెట్ల విలువకి 15° ఎక్కువగా ఉంటుంది. ఆ కోణం విలువ ఎంతో కనుక్కోండి.

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°
Free
RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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ఇవ్వబడింది:

ఒక సంపూరక కోణం దాని పూరక కోణం యొక్క మూడు రెట్ల విలువకి 15° ఎక్కువ.

వాడిన కాన్సెప్ట్:

ఈ రకమైన ప్రశ్నలో, సంపూరక కోణం = 180° – x,

పూరక కోణం = 90° – x

లెక్క:

కనుక్కోవాల్సిన కోణాన్ని x° అనుకుందాం.

ప్రశ్న ప్రకారం

180° – x = 3(90° – x) + 15°

⇒ 180° – x° = 270° – 3x° + 15°

⇒ 2x = 105

⇒ x = 52.5

∴ కోణం యొక్క విలువ 52.5°.

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