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QUESTION IMAGE

use the diagram of \\(\\square abcd\\) to find x. \\(x = \\square\\)

Question

use the diagram of \\(\square abcd\\) to find x.
\\(x = \square\\)

Explanation:

Step1: Recall parallelogram side property

In a parallelogram, opposite sides are equal. So \( AB = CD \).

Step2: Set up equation

Given \( AB = x + 3 \) and \( CD = 2x - 5 \), set them equal: \( x + 3 = 2x - 5 \).

Step3: Solve for x

Subtract \( x \) from both sides: \( 3 = x - 5 \).
Add 5 to both sides: \( x = 8 \).

Answer:

\( x = 8 \)