Question

find the value of x that makes m parallel to n. 75° (3x + 15)°

Explanation:

Step1: Use corresponding - angles property

When two lines are parallel, corresponding angles are equal. Here, the angle of $75^{\circ}$ and the angle $(3x + 15)^{\circ}$ are corresponding angles. So we set up the equation $3x+15 = 75$.

Step2: Solve the equation for x

Subtract 15 from both sides of the equation: $3x=75 - 15$. So $3x=60$. Then divide both sides by 3: $x=\frac{60}{3}$.

Answer:

$x = 20$