Question

angles of a triangle are in the ratio 2:4:3.find the smallest angle

Answer 1

Let the angles be "2x", "4x" and "3x."
By angle-sum property:
                   2x + 4x + 3x = 180
                                   9x = 180
                                     x  = 20
Hence , the angles of the triangle are: 40 degrees, 80 degrees, and 60 degrees. The smallest is, obviously, 20 degrees.
        

Answer 2

Let the angles of triangle be 2x, 4x and 3x respectively.

As we know that, the sum of angles of triangle measures 180°.

A / Q,

∠A + ∠B + ∠C = 180°

⇒ 2x + 4x + 3x = 180°

⇒ 9x = 180

⇒ x = $\mathsf {\frac{180}{9}}$

⇒ x = 20

Now,

∠A = 2x = 2 × 20 = 40°

∠B = 4x = 4 × 20 = 80°

∠C = 3x = 3 × 20 = 60°

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Thanks for the question !

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