Question

the angles of a triangle are in ratio 4:3:2, determine the three angles​

Answer 1

Answer:

Required angles are 80° , 60° and 40°.

Step-by-step explanation:

Let the required numbers are 4a , 3a , 2a.

From the properties of triangles :

• Sum of angles at vertices is 180°.

Here, angles are 4a , 3a and 2a.

= > Sum of 4a , 3a and 2a must be 180°

= > 4a + 3a + 2a = 180°

= > 9a = 180°

= > 9 x a = 9 x 20°

= > a = 20°

Hence :

Required angles are :

• 4a = 4( 20° ) = 80°
• 3a = 3( 20° ) = 60°
• 2a = 2( 20° ) = 40°

Hence the required angles are 80° , 60° and 40°.

Answer 2

Step-by-step explanation:

4x+3x+2x=180

9x=180

X=180/9

X= 20

4x=4*20 =80

3x=3*20=60

2x=2*20=40