Answer:
x = 3, y = 5
Explanation:
For the lines to be parallel, then
45x - 5 and 16x + 2 are same side interior angles and are supplementary, thus
45x - 5 + 16x + 2 = 180, that is
61x - 3 = 180 ( add 3 to both sides )
61x = 183 ( divide both sides by 61 )
x = 3
45x - 5 and 26y are corresponding angles and are congruent, thus
26y = (45 × 3) - 5 = 135 - 5 = 130 ( divide both sides by 26 )
y = 5