Question

Angles of a triangle are in the ratio 2:4:3. Find the smallest angles of the triangle

2 points

20°

30°

40°

50°

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Answer 1

Answer:

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Step-by-step explanation:

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}}9180 

⇒ x = 20

Now,

∠A = 2x = 2 × 20 = 40°

∠B = 4x = 4 × 20 = 80°

∠C = 3x = 3 × 20 = 60°