Question

find the value of c that makes quadrilateral ghij a parallelogram

c=

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Explanation:

Step1: Use the property of parallelogram

In a parallelogram, opposite sides are equal. So, \(c = 5c - 44\).

Step2: Solve the equation

Subtract \(c\) from both sides: \(0 = 5c - c - 44\), which simplifies to \(0 = 4c - 44\).
Add \(44\) to both sides: \(44 = 4c\).
Divide both sides by \(4\): \(c=\frac{44}{4}=11\).

Answer:

\(11\)