Question

what is the value of x? 45° (2x - 5)°

Explanation:

Step1: Identify angle - relationship

Since lines \(m\) and \(n\) are parallel, the 45 - degree angle and \((2x - 5)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(2x-5 = 45\).

Step2: Solve the equation for \(x\)

Add 5 to both sides of the equation: \(2x-5 + 5=45 + 5\), which simplifies to \(2x=50\). Then divide both sides by 2: \(\frac{2x}{2}=\frac{50}{2}\), so \(x = 25\).

Answer:

25