How can I construct a triangle ABC with vertices A(-4,2), B(4,3), C(1,-3). what are the angles in order from least measure to greatest measure

Since you will have to use trigonometry to find the angles, surely you must know how to plot points.

take the slope of each of the lines,
e.g. slope BC =(3-(-3))/(4-1) = 2

If ß is the angle BC makes with the x-axis, then tan ß = 2 and
ß=63.43º
In the same way you can find the angles that the other sides make with the x-axis, and from there you will be able to find the angles of the triangle.