Find the value of x in the following figure:​

Réponse :

Knowing that the circle angle is 360° you can find  using the following equation:

[tex]x+\frac{x}{4} +\frac{x}{2} +59=360[/tex]

You can then expand and reduce:

[tex]\frac{4x}{4} +\frac{x}{4} +\frac{2x}{4} =301[/tex]

So,

[tex]\frac{7}{4} *x=301[/tex]

Finally,

[tex]x=301*\frac{4}{7} =172[/tex]