Question

Given: Line UV bisects Line WZ at V. Draw the diagram and find the measure of Line WZ if

VZ=4a+3 and VW+15-2a

Answer 1

If WZ is bisected, then VZ = VW. So, set the two equations equal to each other: 4a+3 = 15-2a.
1) Add 2a to both sides: 6a+3 = 15
2) Subtract 3 from both sides: 6a = 12
3) Divide both sides by 6 to find a: a = 2.