Question

find the value of x that makes m || n.
135°
(2x + 15)°
m
n
x =

Explanation:

Step1: Use corresponding - angles property

When $m\parallel n$, the corresponding angles are equal. Here, the angle of $135^{\circ}$ and the angle $(2x + 15)^{\circ}$ are corresponding angles. So we set up the equation $2x+15 = 135$.

Step2: Solve the equation for $x$

Subtract 15 from both sides of the equation: $2x=135 - 15$. So $2x = 120$. Then divide both sides by 2: $x=\frac{120}{2}$.

Answer:

$x = 60$