Question

angles of a traingle are in the ratio 2:4:3 the smallest angle of the traingle is
​

Answer 1

Given :-

• The ratio of the angles of a triangle = 2 : 4 : 3.

To Find :-

• The smallest angle of the triangle.

Solution :-

Let, the first angle be 2x.

The second angle be 4x.

The third angle be 3x.

Smaller angle of the triangle is 2x.

We know that,

Sum of the angles of a triangle = 180°

$\implies2x + 4x + 3x = 180 \degree \\ \\ \implies9x = 180 \degree \\ \\ \implies x = \dfrac{180 \degree}{9} \\ \\ \implies x = 20 \degree$

So, the angles of the triangle are :

The first angle = 2x = 2(20°) = 40°

The second angle = 4x = 4(20°) = 80°

The third angle = 3x = 3(20°) = 60°

Hence, the smaller angle of the triangle is 2x.

That means,

The smaller angle of the triangle is 40°.

Answer 2

Answer:

SMALLEST ANGLE IS 40°

Step-by-step explanation:

Question:-

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

Calculations:-

Angle sum property of a triangle is 180°. It is given that the angles are in the ratio 2:4:3.

So let us consider the angles as 2x,3x and 4x.

2x + 4x + 3x = 9x

Angle sum of triangle is 180°

so 9x = 180

x = 180 ÷ 9 = 20

2x=2 × 20 = 40

4x=4 × 20 = 80

3x=3 × 20 = 60

∴ the angles are 40°,80°,60°