If the angles of a triangle ABC are in the ratio 2 : 3 :

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If the angles of a triangle ABC are in the ratio 2 : 3 : 1, then the angles ∠A,∠B and ∠C are

1. ∠A = 60°, ∠B = 90°, ∠C = 30°
2. ∠A = 40°, ∠B = 120°,∠C =20°
3. ∠A = 20°, ∠B = 60°, ∠C = 60°
4. ∠A = 45°, ∠B = 90°, ∠C = 45°

Correct Option: A

Here , Ratio = 2 : 3 : 1
Let the angles of a triangle are 2y , 3y and y .
We know that Sum of three angles of triangle = 180°
∠ A = 2y°
∠ B = 3y°
∠ C = y°
⇒ 2y° + 3y ° + y° = 180°
⇒ 6 y° = 180°

⇒ y =	180	= 30
	6

∴ ∠ A = 2y = 2 × 30° = 60°
∠ B = 3y = 3 × 30 = 90°
∠ C = y = 30°