SU and RT are the diagonals of the rectangle and are thus equal.
We the equate them to find x
SU = RT = 4x - 2 = 5x - 10
subtracting 4x from both sides gives:
4x - 2 - 4x = 5x - 10 - 4x
-2 = x - 10
Adding 10 to both sides give:
10 - 2 = x - 10 + 10
x = 8
RV is half of RT
where = RT = 4(8) - 2 = 32 - 2 = 40
Therefore, RV = 40/2 = 20
To calculate angle VTS, we consider that it is in an isosceles triangle with its angle equal to angle VST. Same angle VST is complementary with angle VSR
Therefore, angle VTS = VST = 90 - 26 = 64 degrees (sum of angles in a right angle)
VTS = 64 degrees
