Question

e value of x.

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \( m \) and \( n \) are cut by a transversal, the sum of same - side interior angles is \( 180^{\circ} \). So, \( (3x - 15)+(x + 7)=180 \).

Step2: Simplify the equation

Combine like terms: \( 3x+x-15 + 7=180 \), which simplifies to \( 4x-8 = 180 \).

Step3: Solve for \( x \)

Add \( 8 \) to both sides: \( 4x=180 + 8=188 \). Then divide both sides by \( 4 \): \( x=\frac{188}{4}=47 \).

Answer:

\( x = 47 \)