Question

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

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. So, \( (15x - 10)+40 = 180\).

Step2: Simplify the equation

First, combine like - terms: \(15x+( - 10 + 40)=180\), which gives \(15x + 30=180\).
Then, subtract 30 from both sides: \(15x=180 - 30\), so \(15x=150\).

Step3: Solve for \(x\)

Divide both sides by 15: \(x=\frac{150}{15}\).

Answer:

\(10\)