Take into account that for the given rectangle, the length of segment UV is equal to the length of segment WT.
Then, you have:
UV = WT
replace the given expressions for the previos segments:
2c - 27 = 5c - 87
solve the previous equation for c, as follow:
2c - 27 = 5c - 87 subtract 5c and add 27 both sides
2c - 5c = - 87 + 27 simplify both sides
-3c = -60 divide by -3 both sides
c = -60/(-3)
c = 20
Hence, the value of c is 20
