Question

find the value of c in parallelogram defg.
g
c+16
d
f
4c-86
e
c =

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so:
$c + 16 = 4c - 86$

Step2: Isolate c terms

Subtract $c$ from both sides:
$16 = 3c - 86$

Step3: Isolate the constant term

Add 86 to both sides:
$16 + 86 = 3c$
$102 = 3c$

Step4: Solve for c

Divide both sides by 3:
$c = \frac{102}{3}$

Answer:

$34$