Parallel lines l and m are cut by transversal t. If the interior angles of the same side of t be (3x+4) and (2x-9), SOLVE FOR THE VALUE OF X.

3 answers

since the angles are supplementary, you have

3x+4 + 2x-9 = 180
...
How can I transpose that one?
huh? Just solve it as usual.

3x+4 + 2x-9 = 180
5x-5 = 180
5x = 175
x = 35