Question

if cg = z - 3 and eg = 3z - 77, find cg in parallelogram cdef.

Explanation:

Step1: Set equal (diagonals bisect)

$z - 3 = 3z - 77$

Step2: Solve for z

$-2z = -74 \implies z = 37$

Step3: Calculate CG

$CG = 37 - 3 = 35$

Answer:

35