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2.3 assignment 12 of 17 find the value of x that makes m || n. x =

Question

2.3 assignment
12 of 17
find the value of x that makes m || n.
x =

Explanation:

Step1: Use corresponding - angle property

If $m\parallel n$, then the corresponding angles are equal. Here, the angle $(2x - 95)^{\circ}$ and $x^{\circ}$ are corresponding angles. So, $2x-95=x$.

Step2: Solve the equation for $x$

Subtract $x$ from both sides: $2x - x-95=x - x$. This simplifies to $x-95 = 0$. Then add 95 to both sides: $x-95 + 95=0 + 95$. So, $x = 95$.

Answer:

$x = 95$