Given:
The angle of the given triangle are
[tex]\begin{gathered} 4x\degree \\ (x+17)\degree \\ (9x-3)\degree \end{gathered}[/tex]
Required:
To find the value of x.
Explanation:
The total sum of the angle in triangle is 180 degree.
Here two angles of triangle are given.
The third angle is,
[tex]\begin{gathered} =180-(9x-3) \\ \\ =-9x+183 \end{gathered}[/tex]
The total sum of the angle in triangle is 180 degree.
Now the value of x is,
[tex]\begin{gathered} (x+17)+4x+(-9x+183)=180 \\ \\ x+17+4x-9x+183=180 \\ \\ -4x+200=180 \\ \\ -4x=180-200 \\ -4x=-20 \\ \\ x=\frac{-20}{-4} \\ \\ x=5 \end{gathered}[/tex]
Final Answer:
The value of x is
[tex]x=5[/tex]
