Question

what is the value of x? 45° (2x - 5)°

Explanation:

Step1: Identify angle - relationship

Since lines \(m\) and \(n\) are parallel and \(l\) is a transversal, the given angles are corresponding angles. Corresponding angles are equal. So, \(2x - 5=45\).

Step2: Solve the equation for \(x\)

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

Answer:

25