Answer:
Measure of UY in the rhombus VWXY is 24 units.
Step-by-step explanation:
By the property,diagonals of a rhombus bisect each other at right angle.
m(UW) = m(UY)
4t - 16 = t + 14
4t - t - 16 = t + 14 - t
3t - 16 = 14
3t - 16 + 16 = 14 + 16
3t = 30
t = [tex]\frac{30}{3}[/tex]
t = 10
Since, UY = t + 14
By replacing t = 10 in the given expression
UY = 10 + 14
= 24 units
Therefore, measure of UY in the rhombus VWXY is 24 units.
