Question

if angles of a triangle are in the ratio 2 is to 3 is to 4 find the value of teacher​

Answer 1

Answer:

Explanation:

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

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

2x+3x+4x=9x

angle sum of triangle is 180

so 9x=180  

or x=180/9=20

therefore, 2x= 2*20=40

3x=3*20=60

and 4x=4*20= 80

That's it

Answer 2

Correct question:

If the angles of a triangle are in the ratio 2:3:4.

Then find the value of each angle

Given:

Angles of triangle are in the ratio 2:3:4

To find:

Three angles of triangle

Explanation:

$\sf angles \: are \: in \: ratio=2:3:4$

$\sf let\: the\: angles \:be\: 2k,3k,4k$

we know that

$\boxed{\sf sum \:of \:angles \:in \:a\: \bigtriangleup le=180\degree}$

SUBSTITUTING

$\longrightarrow \: 2k + 3k + 4k = 180 \\ \\ \longrightarrow \: 9k = 180 \\ \\ \longrightarrow \: \boxed{ k = 20 \degree}$

Now finding out the angle

$\longrightarrow \: 2k = 2 \times 20 = 40 \degree \\ \\ \longrightarrow3k = 3 \times 20 = 60 \degree \\ \\ \longrightarrow4k = 4 \times 20 = 80 \degree \:$

Therefore,

angles of the triangle are 40°,60°,80°