Given that
m || n || p, l is a transversal,
Consider a,b,c angles in the figure
a = 60°
Since they are vertically opposite angles
a and x are interior angles on the same side to the transversal
So they are supplementary
⇛a+x = 180°
⇛60°+x = 180°
⇛x = 180°-60°
⇛x = 120°
x and b are linear pair
x+b = 180°
⇛b = 180°-x
⇛b = 180°-120°
⇛b = 60°
b and c are corresponding angles
b and c are equal
⇛b = c = 60°
and
c and y are vertically opposite angles
⇛y = 60°
Answer: The measure of the angle x = 120°& y = 60°.
Additional comment:
If two parallel lines Intersected by a transversal then,
Vertically opposite angles are equal. Corresponding angles are equal. Alternative interior angles are equal. Interior angles on the same side to the transversal are supplementary.
