Question

I need help finding the value of x for this problem?

Answer 1

Given:

The angle of the given triangle are

`\begin{gathered} 4x\degree \\ (x+17)\degree \\ (9x-3)\degree \end{gathered}`

Required:

To find the value of x.

Step-by-step explanation:

The total sum of the angle in triangle is 180 degree.

Here two angles of triangle are given.

The third angle is,

`\begin{gathered} =180-(9x-3) \\ \\ =-9x+183 \end{gathered}`

The total sum of the angle in triangle is 180 degree.

Now the value of x is,

`\begin{gathered} (x+17)+4x+(-9x+183)=180 \\ \\ x+17+4x-9x+183=180 \\ \\ -4x+200=180 \\ \\ -4x=180-200 \\ -4x=-20 \\ \\ x=(-20)/(-4) \\ \\ x=5 \end{gathered}`

Final Answer:

The value of x is

`x=5`