Question

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

Explanation:

Step1: Use the property of parallelograms

In a parallelogram, consecutive angles are supplementary. So, the angle at \(W\) is \(180^{\circ}- 40^{\circ}=140^{\circ}\).

Step2: Set up the equation

Since in parallelogram \(VWXY\), \(\angle W=(15x - 10)^{\circ}\). We set up the equation \(15x-10 = 140\).

Step3: Solve the equation

Add \(10\) to both sides: \(15x=140 + 10\), so \(15x=150\).
Divide both sides by \(15\): \(x=\frac{150}{15}=2\).

Answer:

$2$