Question

if fg = 4v - 36 and fi = v + 6, find the value of v in parallelogram ghij.

Explanation:

Step1: Set segments equal (diag bisect)

$4v - 36 = v + 6$

Step2: Isolate variable terms

$4v - v = 6 + 36$

Step3: Simplify and solve for v

$3v = 42$
$\frac{3v}{3} = \frac{42}{3}$

Answer:

$v = 14$