Question

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Answer 1

Answer:

The measures of the angles would be 107.5 and 72.5.

Step-by-step explanation:

The angles should up to 180 degrees.

You can make two equations to solve it:

x+y=180

x-y=35

You add both of the equations.

2x = 215

X = 107.5

Y = 72.5

Answer 2

Answer:

angle 1:    72.5°

angle 2:   107.5°

Step-by-step explanation:

x + y = 180

x - y = 35         ===>      x = 35 + y

Substitution to find angle y:

  x + y = 180

  (35 + y) + y = 180

  35 + 2y = 180

  2y = 145

  y = 72.5

Substitution to find angle x:

  x = 35 + y

  x = 35 + (72.5)

  x = 107.5