Question 121

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

Solution

Let the angles of the triangle be $$2x, 3x$$ and $$x$$

Using angle sum property, we get :

=> $$x + 2x + 3x = 180$$°

=> $$x = \frac{180}{6} = 30$$°

=> Angles are :

$$\angle$$A = 2*30° = 60°

$$\angle$$B = 3*30° = 90°

$$\angle$$C = 1*30° = 30°

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