Question: Angle larger as 180 degrees

Dear readers,

For a question for my students I want them to calculate tge resulting vector from two vectors. The student had to answer by giving the length and angle of the resulting vector.

For the question the vector angle is always larger as 180 derges, the student should for example give a result of 270 degrees.

Currently I'm using the following code:

$F1=100;#range(200,500,20);
$F2=100;#range(100,200,10);
$A1=45;#range(10,80,5);
$A2=45;#range(10,80,5);
$A1r=180+$A1;
$A2r=360-$A2;
$F1x=maple("cos(($A1r)*Pi/180)*$F1");
$F1y=maple("sin(($A1r)*Pi/180)*$F1");
$F2x=maple("cos(($A2r)*Pi/180)*$F2");
$F2y=maple("sin(($A2r)*Pi/180)*$F2");
$V1=maple("Vector(2,[($F1x),($F1y)])");
$V2=maple("Vector(2,[($F2x),($F2y)])");
$V3=maple("($V1)+($V2)");
$F3=maple("LinearAlgebra[Norm]($V3)");
$V0x=maple("Vector(2,[1,0])");
$A3=maple("LinearAlgebra[VectorAngle](($V0x),($V3))");
$A4=maple("evalf((($A3)*180/(Pi)))");

As you can see maple will always give an angle smaller than 180 degrees since the angle between two vectors is always 180 degrees or smaller.

Can anyone tell me how I should code this problem such that the rest for A4 will be 270 degrees rather than 90 degrees, as is given from the current way of coding.

Thank you in advance.