That chart probably relates to a transversal line you have above it with the numbers on the 3 lines. When it says "Parallel lines" it means what lines are parallel between the two given numbers. Example: Question a) is saying Angle 10 is congruent to Angle 15, therefore what two lines that they're on or next to are parallel. In many cases, it would be the ones that they're on.
Converse,
The "Converse" is also known as "Alternate Interior Angles". Meaning angles that are on the same side of the transversal and are inside of it. Example: On the bottom of your page (near question 2) the angles 4 and 5 are transversals and so is 3 and 6. So just write down the converse of each given value or angle.
