Question

given m || n, find the value of x.
65°
(4x - 17)°

Explanation:

Step1: Identify angle - relationship

Since $m\parallel n$, the angles $(4x - 17)^{\circ}$ and $65^{\circ}$ are corresponding angles and are equal. So we set up the equation $4x-17 = 65$.

Step2: Solve the equation for $x$

Add 17 to both sides: $4x=65 + 17$. So $4x=82$.

Step3: Isolate $x$

Divide both sides by 4: $x=\frac{82}{4}=20.5$.

Answer:

$x = 20.5$