Question

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

Answer 1

Answer:

Answer:

The angles of triangle are 40, 60 and 80.

Step-by-step explanation:

It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

2x+3x+4x=1802x+3x+4x=180

9x=1809x=180

x=20x=20

The value of x is 20.

2x=2(20)=402x=2(20)=40

3x=3(20)=603x=3(20)=60

4x=4(20)=804x=4(20)=80

Therefore the angles of triangle are 40, 60 and 80.

Answer 2

Answer:

Ratio = 2:3:4

Let the angles be =

2x

3x

4x

________________.

Sum of all angles of a triangle = 180°

So,

2x+3x+4x=180°

9x=180°

x=180°/9

x=20°

________________.

Hence,

2x=2×20°

= 40°

3x=3×20°

= 60°

4x=4×20°

= 80°

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