Answer:
1.
Notice that 3x is equal to angle FIK.
Also, 3x is equal to angle GIK (which is equal to x) +2x. Therefore, angle FIJ(which is equal to 2x) is supplementary to 2x. Knowing all of that, we can set up an equation, where angle FIJ and FIG add up to 180:
2x+2x=180
4x=180
x=45
2.
Notice that angle NQU is equal to angle QNM, which means that angle QNM is x. Therefore, we can set up an equation:
42+x+x=180
2x=138
x=69(nice)
3.
Notice that ECD is vertical to ACB, which means that ACB is 3x.
To find out ACH, all we have to do is subtract x from 3x, and we get 2x.
Therefore, we can set up an equation:
2x+2x+100=180
4x=80
x=20