ok so remember that a circle is 360 degrees and a line is 180 degrees
so
IKJ
ok so we see that we have a triangle
to find the internal angles (which add to 180)
we do, opposite angles are equal
JIK=59
also CJI+KJI=180 so 132+KJI=180, KJI=48
so
59+48+IKJ=180
73=IKJ
HIB
we can assume that AB is paralell to CD
so therefor IJK=HIB=48 (from previous question)
EIJ is adding to EIH to get 180
EIJ+59=180
EIJ=121
AIK=AIJ+JIK
JIK=59
AIJ=HIB=48
AIK=59+48=107
IKJ=73
HIB=48
EIJ=121
AIK=107