practice with lines cut by a transversal. what is the value of x? 45° (2x - 5)°

Answer:

$25$

Explanation:

Step1: Identify angle - relationship

The two angles $45^{\circ}$ and $(2x - 5)^{\circ}$ are corresponding angles. Since lines $m$ and $n$ are parallel (assumed from the context of lines cut by a transversal), corresponding angles are equal. So, $45=2x - 5$.

Step2: Solve the equation for $x$

Add 5 to both sides of the equation: $45 + 5=2x-5 + 5$, which simplifies to $50 = 2x$.

Step3: Isolate $x$

Divide both sides of the equation $50 = 2x$ by 2: $\frac{50}{2}=\frac{2x}{2}$. So, $x = 25$.