Question

find the value of s in parallelogram abcd.

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $6s - 14 = 8s - 30$.

Step2: Isolate s terms

Subtract $6s$ from both sides: $-14 = 2s - 30$.

Step3: Isolate constant terms

Add 30 to both sides: $16 = 2s$.

Step4: Solve for s

Divide both sides by 2: $s = \frac{16}{2}$.

Answer:

$s = 8$