Line l(AB) and Line l(CD) are parallel to each other and line l(MN) cuts both the lines together
As seen in above diagram the angles in the diagram are named as a,b,c,d,e,f,g,h
Each angle may or may not have some or the other connection with some other angle
There are the following types of angles formed in such figures:
1. Vertically Opposite angles : These angles is formed when 2 lines cross each other at a point i.e.a = d | b = c | e = h | f = g
2. Corresponding angles : These angles are formed when 2 parallel lines are cut simultaneously by 3rd line
          These type of angles are seen to make a F in the diagram. In the above diagram a = e | b = f | c = g | d = h
3.Alternate angles : These angles are formed when 2 parallel lines are cut simultaneously by 3rd line
          These angles are seen to form a Z in the diagram c = f | d = e
4.Interior angles : These angles are formed when 2 parallel lines are cut simultaneously by 3rd line
          These type of angles are seen to make a C in the diagram. In the above diagram These angles are supplementary to each other i.e. Their addition is 180°
          c = e | d = f
Adjacent angles : Adjacent angles add up to 180 degrees. a and b | d and c | c and a | d and b | f and e | e and g | h and g | h and f are adjacent.

If in the above diagram b = 57 ° , then using above properties we can find remaining allthe angles
Using Vertically Opposite angle property c = 57 °(vertically opposite of b)
Using Straight lines property i.e. supplementary property of a line d = 123 °
Using Vertically Opposite angle property a = 123 °(vertically opposite of d)
Using corresponding angle property
a = e = 123 °
b = f = 57 °
c = g = 57 °
d = h = 123 °
Using Alternate angle property we verify that
d = e = 123 °
c = f = 57 °
Using interior angle property we verify that
d + f = 123 ° + 57 ° = 180 °
c + e = 57 ° + 123 ° = 180 °