If the angles (5x - 2)° and 82° form a pair of supplementary angles, then the value of x is:

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RRB Technician Grade III Official Paper (Held On: 28 Dec, 2024 Shift 2)
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  1. 90
  2. 20
  3. 45
  4. 30

Answer (Detailed Solution Below)

Option 2 : 20
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Detailed Solution

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Given:

If the angles (5x - 2)º and 82º form a pair of supplementary angles, then the value of x is:

Formula used:

Supplementary angles add up to 180º

Calculation:

(5x - 2)º + 82º = 180º

⇒ 5x - 2 + 82 = 180

⇒ 5x + 80 = 180

⇒ 5x = 100

⇒ x = 20

∴ The correct answer is option (2).

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