Question

find cf in parallelogram cdef.
cf =
submit

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $CD = FE$.
$x = 4x - 36$

Step2: Solve for $x$

Rearrange to isolate $x$:
$36 = 4x - x$
$3x = 36$
$x = \frac{36}{3} = 12$

Step3: Match $CF$ to its opposite side

Opposite sides $CF$ and $DE$ are equal, so $CF = 8x - 72$.
Substitute $x=12$:
$CF = 8(12) - 72$

Step4: Calculate final value

Compute the expression:
$CF = 96 - 72 = 24$

Answer:

24