find the measure of angle 6

The measure of angle 6 can be found by the opposite of the angle with 115 degrees. Since there are only straight lines, one can determine that the line equals 180 degrees. and since 115 degrees is on one side of the line, all you need to do is subtract 115 from 180 to get the answer to what angle 6 is, 65 degrees
angle 2 and angle 6 are corresponding by the way, if that sounded confusing. so angle 2 equals angle 6 as well