The three paths intersect in pairs at the points a, b, and c. measure and record the angle formed at each intersection. also measure and record the lengths of the straight paths, of sides

I think you are meant to actually draw a diagram showing 3 paths.  

This is not something we can easily do here.  

Just draw 3 non parallel lines. These paths will form a triangle with vertices A, B, C. So you know that the angles have to add up to 180.  

Get a protractor out and measure the angles  

Get a ruler out and measure each side.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2