Question

Find the values of the variables in the below picture.

Answer 1

Consider that angles of 5x and 40 are supplementary, that is, they add up 180°, then, you have:

5x + 40° = 180° subtract 40° both sides

5x = 180° - 40°

5x = 140° divide by 5 both sides

x = 140°/5

x = 28°

Next, consider that you have two parallel lines crossed by a secant line. Then, angles 5x and 3y-1 are