Question

given m || n, find the value of x. 110° (3x - 10)°

Explanation:

Step1: Identify angle - relationship

Since $m\parallel n$, the given angles are corresponding angles and are equal. So, $3x - 10=110$.

Step2: Solve the equation for $x$

Add 10 to both sides: $3x-10 + 10=110 + 10$, which simplifies to $3x=120$.

Step3: Isolate $x$

Divide both sides by 3: $\frac{3x}{3}=\frac{120}{3}$, so $x = 40$.

Answer:

$x = 40$