Of the three angles of a triangle, one is twice the smallest and another one is thrice the smallest. Find the value of the smallest angle. 

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 1)
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  1. 65°
  2. 60°
  3. 30°
  4. 45°

Answer (Detailed Solution Below)

Option 3 : 30°
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Detailed Solution

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Given:

Of the three angles of a triangle, one is twice the smallest, and another one is thrice the smallest.

Concept:

The sum of the angles in a triangle is always 180º.

Formula Used:

If the smallest angle is x, then the other two angles are 2x and 3x.

Calculation:

We have,

⇒ x + 2x + 3x = 180º

⇒ 6x = 180º

⇒ x = 180º ÷ 6

⇒ x = 30º

∴ The value of the smallest angle is 30º.

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