Question

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

Answer 1

Answer:

Step-by-step explanation:

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

Therefore, by Angle Sum Property of Triangle,

2x+4x+3x = 180

=> 9x = 180

=> x = 180/9

=> x = 20

Since 2x is the smallest angle.

Therefore , 2x = 2*20 = 40°

Thus 40° is the smallest angle.

Answer 2

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 = 20

Now,

∠A = 2x = 2 × 20 = 40°

∠B = 4x = 4 × 20 = 80°

∠C = 3x = 3 × 20 = 60°

Therefore the smallest angle is angle A which is of 40 degrees.

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