transversal - to find value of x?

Question

the interior angles of an transversal line is given as (2x-10)degree and (65 -x)degree.
find the value of x? where the parallel line are m and n

Answer 1

If the interior angles are on the opposite side of the transversal, then they are equal so 2x-10 = 65-x. This gives
3x=75 and x = 25. So the angles are each 40 degrees.

If the interior angkes are on the same side of the transversal, then their sum is 180 degrees so 2x-10+x-65= 180. This gives 3x = 255 and x = 85. So angles are 160 and 20 degrees.