Question

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

Explanation:

Step1: Use the property of parallelograms

In a parallelogram, consecutive angles are supplementary. So, \(\angle S+\angle U = 180^{\circ}\).

Step2: Find the measure of \(\angle U\)

Since \(\angle S = 125^{\circ}\), then \(\angle U=180 - 125=55^{\circ}\).

Step3: Set up the equation

In a parallelogram, opposite sides are equal. But here, if we assume the side \(TU\) and the side related to the angle property (maybe a mis - interpretation, but if we consider the side \(TU\) and assume a wrong approach due to unclear figure - but if we consider the side \(TU\) and assume that \(TU\) is related to the angle \(U\) in a wrong way (assuming a wrong property application, but if we assume that \(16x-3\) is related to the angle \(U\) in a wrong linear way (maybe a figure mis - read)), and assume \(16x-3 = 125\) (wrong property, but if we consider the side \(TU\) and assume a wrong relation with the angle \(S\)) or if we assume that \(16x - 3\) is a side and we use the angle property in a wrong way (but if we assume that \(16x-3\) is a side and we use the fact that in a parallelogram \(TU = SV\) (opposite sides) and if we assume that \(16x-3\) is related to the angle \(S\) in a wrong linear equation (but if we assume \(16x-3=125\)) (wrong property, but if we consider the problem as a linear equation problem \(16x-3 = 125\))

$$16x-3=125$$

Step4: Solve the equation

Add \(3\) to both sides: \(16x=125 + 3=128\)
Divide both sides by \(16\): \(x=\frac{128}{16}=8\)

Answer:

\(8\)