Respuesta :
Given:
Given that the polygon has 4 sides with its exterior angles.
The exterior angles are 140°, 34°, 56° and x°
We need to determine the value of x.
Value of x:
We know that, the exterior angles of a polygon add up to 360°
Thus, we have;
[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]
Adding the terms, we have;
[tex]230^{\circ}+x=360^{\circ}[/tex]
Subtracting both sides of the equation by 230, we get;
[tex]x=130^{\circ}[/tex]
Thus, the value of x is 130°
