The measure of RT and QT is 16 units and 28units
Parallelogram
From the given parallelogram, you can see that the following is true:
Given the following parameters:
- RT = x + 5
- TP = 2y
- QT = 2y + 2
- TS = 2x
Substitute to havee:
x + 5 = 2y
x - 2y = -5
x = 2y - 5
Similarly;
2y + 2 = 2x
2y + 2 = 2(2y - 5)\
2y + 2 = 4y - 10
2y - 4y = -12
-2y = -12
y = 6
Since x = 2y - 5
x = 2(6) - 5
x = 12-5
x = 7
Get the measure of RT:
RT = x + 9
RT = 7 + 9
RT = 16 units
Get the measure of QS
QS = QT + TS
QS = 2y + 2 + 2x
QS = 2(6) + 2 + 2(7)
QS = 28 units
Hence the measure of RT and QT is 16 units and 28units
Learn more on parallelograms here: https://brainly.com/question/970600
