Question

the lines g and h are parallel. what is the value of x based on the following angles?

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary. So, \((9x + 57)+(10x + 104)=180\).

Step2: Simplify the equation

Combine like terms: \(9x+10x+57 + 104=180\), which gives \(19x+161 = 180\).

Step3: Solve for \(x\)

Subtract \(161\) from both sides: \(19x=180 - 161\), so \(19x=19\). Then divide both sides by \(19\): \(x = 1\).

Answer:

\(x = 1\)