Question

The measures of of angles of a triangle are in the
ratio 5:6:7 find value of x​

Answer 1

• As per the data given in the question, We have to find the angles of the triangle.

        Let the angles are $5x,6x$ and $7x$ respectively.

        We know that, the sum of three angles are $180degree.$

        According to the questions,

        $\Rightarrow 5x+6x+7x=180\\\Rightarrow 18x=180\\\Rightarrow x=10.$

        Then, we substitute the value. we get,

            $\Rightarrow 5x=5\times10=50degree\\6x=6\times10=60degree\\7x=7\times10=70degree$

Answer 2

It is given that  measures of angles of a triangle are in the  ratio 5:6:7.

Let the angles be 5x, 6x, and 7x

We know that in a triangle sum of all  three angles is equal to 180°

Therefore, 5x+6x+7x= 180

                              18x = 180

                                  x= 10.

The value of 'x' comes out to be 10

So, the angles will be

5x = 5 × 10

     = 50

6x= 6×10

     =60

7x=7×10

   =70