One of the same side angles of two parallel lines is 70° greater than the other one. Find the measures of these two angles.

55° and 125°

same side angles are supplementary

2 supplementary angles sum to 180°

let x be one angle then the other angle is x + 70 (70 greater), hence

x + x + 70 = 180

2x + 70 = 180 (subtract 70 from both sides)

2x = 110 (divide both sides by 2)

x = 55

the two angles are 55° and 55 + 70 = 125°