The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 1)
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  1. 79°
  2. 84°
  3. 80°
  4. 76°

Answer (Detailed Solution Below)

Option 4 : 76°
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RRB NTPC Graduate Level Full Test - 01
100 Qs. 100 Marks 90 Mins

Detailed Solution

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Given:

Two angles are supplementary, and the larger angle is 28º more than the smaller angle.

Formula used:

If two angles are supplementary, their sum is 180º.

Let the smaller angle be x.

Larger angle = x + 28º

Calculation:

Sum of angles = x + (x + 28º) = 180º

⇒ 2x + 28 = 180

⇒ 2x = 180 - 28

⇒ 2x = 152

⇒ x = 76º

∴ The correct answer is option (4).

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