Question

what is the value of x? diagram: two parallel lines m and n, transversal line l. angle between l and m is 45°, angle between l and n is ((2x - 5)^circ)

Explanation:

Step1: Identify the relationship

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

Step2: Solve for \( x \)

Add 5 to both sides: \( 2x = 45 + 5 = 50 \).
Divide both sides by 2: \( x = \frac{50}{2} = 25 \).

Answer:

25