SOLUTION: PLEASE HELP: The difference of the same side interior angles of two parallel lines is 50°. Find all angles.

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Question 1102151: PLEASE HELP: The difference of the same side interior angles of two parallel lines is 50°. Find all angles.
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of the same side interior angles of two parallel lines is 50°. Find all angles.
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Their vertical angles must be 50 degrees
Their adjacent angles must be 180-50 = 130 degrees
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Cheers,
Stan H.
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Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.
Their difference is 50 degs:   x - y =  50.

Their sum is       180 degs:   x + y = 180.
                              ---------------- Add the two equations:

                              2x      = 180+50 = 230  ====>  x = 230%2F2 = 115.

Then y = 180 - x = 180 - 115 = 65.


Answer. The angles are 65 degs and 115 degs.