Question

find qr and rs in parallelogram qrst.

qr =
rs =

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent. So $QS$ (wait, correction: $QR = TS$, $RS = QT$):
$4b - 50 = 3b - 20$

Step2: Solve for $b$

Subtract $3b$ from both sides, then add 50 to both sides:
$4b - 3b = -20 + 50$
$b = 30$

Step3: Calculate $QR$

Substitute $b=30$ into $QR = 3b - 20$:
$QR = 3(30) - 20 = 90 - 20 = 70$

Step4: Calculate $RS$

Substitute $b=30$ into $RS = b + 10$:
$RS = 30 + 10 = 40$

Answer:

$QR = 70$
$RS = 40$