The angles of a triangle are in the ratio 2 ∶ 3 ∶ 7. What is the measure of the largest angle of the triangle?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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  1. 100°
  2. 45°
  3. 90°
  4. 105°

Answer (Detailed Solution Below)

Option 4 : 105°
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Detailed Solution

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Given:

The angles of a triangle are in the ratio 2 ∶ 3 ∶ 7

Concept used:

The sum of all angle in triangle = 180°

Calculation:

Let the first angle = 2x

The second angle = 3x

The third angle = 7x

Now,

⇒ 2x + 3x + 7x = 180° 

⇒ 12x = 180°

⇒ x = 15°

The largest angle = 7x = 7 × 15 = 105°

∴ The correct answer is 105°. 

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