given (mparallel n), find the value of x.\nanswer attempt 1 out of 2\n(x=)

Explanation:

Step1: Identify angle - relationship

Since (m\parallel n), the angles ((8x - 5)^{\circ}) and ((x + 5)^{\circ}) are supplementary (same - side interior angles). So, ((8x-5)+(x + 5)=180).

Step2: Simplify the equation

Combine like - terms: (8x-5+x + 5=180), which simplifies to (9x=180).

Step3: Solve for x

Divide both sides of the equation (9x = 180) by 9: (x=\frac{180}{9}=20).

Answer:

(20)