Question

2.3 assignment
find the value of x that makes m || n.
x =

Explanation:

Step1: Identify angle - relationship

When $m\parallel n$, the angles $(3x + 15)^{\circ}$ and $75^{\circ}$ are alternate - interior angles and are equal. So we set up the equation $3x+15 = 75$.

Step2: Solve the equation for x

Subtract 15 from both sides: $3x=75 - 15$. So $3x = 60$.

Step3: Isolate x

Divide both sides by 3: $x=\frac{60}{3}$.

Answer:

$x = 20$