MATLAB: Angles at concave polygon

angleconcavepolygonvertices

Hello, I have a concave polygon you can see in the picture attached. I need to compute all angles between two consecutive vectors. I tried following:
for k = 1 : size(ps, 1) - 2;
    point1 = ps(k, :);
    vertex = ps(k+1, :);
    point2 = ps(k+2, :);
    v1 = point1 - vertex;
    v2 = point2 - vertex;      
    theta(k) = dot(v1, v2)/(norm(v1)*norm(v2));
    angle(k) = (acos(theta))*180/pi;
end
ps is nx2 matrix containing coordinates of polygon vertices.
In the output angle(k) there are angles allways smaller then 180, but obviously there angles more then 180. I need to somehow distinct which angles are >180 and <180. What do I do wrong? Thank you in advance for your reply

Best Answer

Try atan2d().
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