Please Help!
L is a Transversal. For what Value of X will M and N Be Parallel?
The value of x is 22.4
Because if (3x + 4) and (5x - 3) are supplementary as same side interior angles of the transversal l, then lines m and n are parallel.
So,
(3x + 4) + (5x - 3) = 180
Solve for x
3x + 4 + 5x - 3 = 180
Collect alike 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)
So, for lines m and n to be parallel, the value of x will be 22.4.
-Abi
