Question

The three angles of a tringle are in the ratio 2 : 3 :4 find all the angle

Answer 1

Answer:

40, 60 And 80

Step-by-step explanation:

Take a common factor x

2x + 3x + 4x = 180 which is the sum of all angles in triangle

9x = 180

x = 180/9

x = 20

Now,

2 x 20 = 40

3 x 20 = 60

4 x  20 = 80  

Answer 2

To find : measure of angles of triangle .  

Given : ratio of angles  $2: 3: 4$ .

Solution :

• According to angle sum property of triangle sum of measures of angles of triangle is $180$°.
• Let , $2x, 3x, 4x$ be the three angles of triangle .

• Now, by angle sum property of triangle we have , $2x + 3x + 4x = 180$°
• Firstly we find the value of variable $x$ by transposition method  .
• Then , substitute the value of variable in the angles to find its measure.

• $2x + 3x + 4x = 180$

                        $9x = 180 \\x =20$

• Now , angles are : $2x = 2\times 20 =40$°

                                       $3x =3\times 20 = 60$°

                                       $4x = 4\times 20 = 80$°

Hence, angles of triangle are  $40$°, $60$°, $80$° .