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.
since the angles are supplementary, you have
3x+4 + 2x-9 = 180
...
huh? Just solve it as usual.
3x+4 + 2x-9 = 180
5x-5 = 180
5x = 175
x = 35
How can I transpose that one?
To solve for the value of x, we can set up an equation by equating the given interior angles of the same side of the transversal:
(3x + 4) = (2x - 9)
Now, we can solve for x:
3x + 4 = 2x - 9
Subtract 2x from both sides:
3x - 2x + 4 = -9
Simplify:
x + 4 = -9
Subtract 4 from both sides:
x = -13
Therefore, the value of x is -13.