Question

5. The angles of a triangle are in the ratio 2:3:4. The measure of the
smallest angle is __________ .​

Answer 1

Step-by-step explanation:

let the angle be x

sum of all three angles of triangle = 180

2x + 3x + 4x = 180

9x = 180

x = 180/9

x = 20

the measure of smallest angle = 2x = 2*20 = 40 degree

Answer 2

Answer :

The measure of the smallest angle is 40°.

Step-by-step explanation:

Given :

The angles of a triangle are in the ratio

2 : 3 : 4.

To Find :

The measure of the  smallest angle.

Solution :

★ Consider the -

The common multiple to as -  'x'.

We know...

Sum of all angles of a triangle equals 180°.

So,

⇒ 2x + 3x + 4x = 180.

⇒ 9x = 180

⇒ x = $\dfrac{180}{9}$

⇒ x = 20

Hence, the three angles be,

⇒ 2 × 20 = 40°

⇒ 3 × 20 = 60°

⇒ 4 × 20 = 80°

Here,

We can observe that 40° is the smallest angle.