Question

3.)
m
n
150°
(3x - 15)°
x = __________

Explanation:

Step1: Assume angles are corresponding

If lines m and n are parallel, the given angles are corresponding angles and are equal. So we set up the equation $3x - 15=150$.

Step2: Add 15 to both sides

$3x-15 + 15=150 + 15$, which simplifies to $3x=165$.

Step3: Divide both sides by 3

$\frac{3x}{3}=\frac{165}{3}$, so $x = 55$.

Answer:

$55$