Answer:
x = 22.4
Step-by-step explanation:
If (3x + 4) and (5x - 3) are supplementary as same side interior angles of the transversal l, then lines m and n are parallel.
Thus,
(3x + 4) + (5x - 3) = 180
Solve for x
3x + 4 + 5x - 3 = 180
Collect like terms
8x + 1 = 180
Subtract 1 from both sides
8x = 180 - 1
8x = 179
Divide both sides by 8
8x/8 = 179/8
x = 22.375
x = 22.4 (to nearest tenth)
Thus, for lines m and n to be parallel, the value of x will be 22.4.
