The diagram shows three straight lines, work out the sizes of angles a b and c

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

Can someone check if i did this correct. it’s number 4 if you’re wondering.

What is the greatest number of parts of a circle that can be formed by cutting the circle with 7 straight cuts? (note: the parts do not have to be equal in size)