Question

the angle of a triangle are 2x, (3x+5) and (4x-14) then find the value of x

Answer 1

Heya ,

Here's ur answer,

We know that sum of all the angles of triangle =180 degree

Hence ,

2x+(3x+5)+(4x-14)=180
2x+3x+5+4x-14=180
9x-9=180
9x=180+9
9x=189
x=189÷9
x=21


The value of x is 21 degrees .


Hope it helps you !

Answer 2

For the given angles of a triangle, the value of x is 21.

Given,

The angles of a triangle are:

2x,

(3x + 5), and

(4x - 14).

To find,

The value of x.

Solution,

Here, we can see that the 3 angles of a triangle are given in the form of some expressions, which are as follows.

2x,

(3x + 5),

(4x - 14).

Now, we know that in a triangle, the sum of all of its three angles is equal to 180°.

So, for the given triangle, we can write,

2x + (3x + 5) + (4x - 14) = 180°

Simplifying the above equation, we get,

2x + 3x + 4x + 5 - 14 = 180

⇒ 9x - 9 = 180

⇒ 9x = 189

$\implies x = \frac{189}{9}$

⇒ x = 21.

Therefore, for the given angles of a triangle, the value of x is 21.

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