Question

in the given parallelogram, find the value of x. 14 3x + 2 options: x = 4, x = 5, x = 9, x = 14

Explanation:

Step1: Recall parallelogram diagonals property

In a parallelogram, the diagonals bisect each other. So the two segments of one diagonal are equal. Thus, \(3x + 2 = 14\).

Step2: Solve for x

Subtract 2 from both sides: \(3x = 14 - 2 = 12\). Then divide by 3: \(x=\frac{12}{3}=4\).

Answer:

\(x = 4\) (corresponding to the option "x = 4")