Question

Consider parallelogram VWXY below.Use the information given in the figure to find m ZZVW, x, and m ZZWV.3x + 3хm ZZVw -I=0m LZWV - ]4264YXContinue

Answer 1

- To determine the measure of angle ZVW, take into account that lines VW and XY can be considered as parallel lines crossed by a secant line XV, then, angle ZVW is congruent to angle YXZ. Then, you have

m

- To find the value of x, consider that segments YZ is equal to segment ZW. Equal the given expression for both segments and solve for x, just as follow:

6 = 3x + 3 subtract 3 both sides

6 - 3 = 3x

3 = 3x divided by 3 both sides

3/3 = x

1 = x

x = 1

- Angle ZWV is congruent to angle ZYX (due to the same reason in the determination of the measure of angle ZVW), then the measure of ZWV is:

m