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

The measure of these two angles is 107.5° and 72.5°.

Given that,

Based on the above information, the calculation is as follows:

x + y = 180          

And,

x - y = 35            

So, after solving it, it comes

2x = 215                            

x = 107.5°                  

So, y = 180 - 107.50 = 72.5

Therefore we can conclude that the measure of these two angles is 107.5° and 72.5°.

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Therefore we can conclude that

  107.5° and 72.5°

Step-by-step explanation:

  x + y = 180          same side interior angles of two parallel lines add up to 180

  x - y = 35            

     2x = 215                           add above two equations

       x = 107.5°                       divide by 2 to isolate x

Substitution to find y:

  x + y = 180

  107.5 + y = 180

              y = 72.5°