Question

d the value of x.

Explanation:

Step1: Use the property of same - side interior angles

Same - side interior angles are supplementary. So, \((2x - 20)+(3x + 10)=180\)

Step2: Simplify the equation

Combine like terms: \(2x+3x-20 + 10=180\), which simplifies to \(5x-10 = 180\)

Step3: Solve for \(x\)

Add \(10\) to both sides: \(5x=180 + 10=190\). Then divide both sides by \(5\): \(x=\frac{190}{5}=38\)

Answer:

\(38\)