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properties of parallelograms solve for the unknown variable (x). answer…

Question

properties of parallelograms
solve for the unknown
variable (x).
answer: round to whatever you
see in the problem.

Explanation:

Step1: Use property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \((37x - 3)+72 = 180\).

Step2: Simplify the equation

Simplify the left - hand side: \(37x-3 + 72=37x + 69\). The equation becomes \(37x+69 = 180\).

Step3: Solve for \(x\)

Subtract \(69\) from both sides: \(37x=180 - 69\), so \(37x = 111\). Then divide both sides by \(37\): \(x=\frac{111}{37}=3\).

Answer:

$3$