ANSWER and EXPLANATION
To answer the question, we have to know the meanings of the different types of angles:
=> Alternate interior angles: these are angles that are on the inner side (but opposite of one another) when a line cuts through two parallel lines.
=> Alternate exterior angles: these are angles that are on the outer side (but opposite of one another) when a line cuts through two parallel lines.
=> Corresponding angles: these are angles that lie in different positions but similar corners when a line cuts through two parallel lines.
=> Consecutive Interior angles: these are angles that are on the inside of two parallel lines that are cut through by a parallel line. They are on the same side of the line.
=> Consecutive Exterior angles: these are angles that are on the outside of two parallel lines that are cut through by a prallel line. They are on the same side of the line.
Note: the diagram does not seem to agree with the notion that those lines are parallel, but the options do.
Therefore, the various pairs of angles are:
<9 and <14 = Consecutive Exterior
<4 and <7 = Consecutive Interior
<2 and <10 = Corresponding angles
<8 and <14 = Consecutive Interior
<6 and <11 = Alternate Exterior
<4 and <13 = Alternate Interior
<4 and <9 = Alternate Interior