The line and angle tool's not working with enough precision

[cjmcgin]

Constructing triangles

"Draw a triangle with side length 5 between two 58∘ angles. Is there a unique triangle that satisfies the given conditions?"

I know that a triangle with 58, 58 and 64 degrees with side of 5, 5 and some other measure. But, I can't manipulate the the sides or the vertices of the triangle with enough precision to make the triangle. I adjusted my mouse sensitivity down but to no avail. This needs to be setup in a way where when the vertices are dragged, the length of the line changes but when the line is dragged, only the angle measures are shifting. It's as if the "snap to grid" function is on and it's not allowing for total range of motion.