Question

lines m and n are parallel, and their corresponding angles measure (3x + 15)° and (5x - 25)°. what is the value of x? (2 points) 20 10 40 5

Explanation:

Step1: Use the property of corresponding angles

Since lines \(m\) and \(n\) are parallel, corresponding angles are equal. So, \(3x + 15=5x - 25\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(15 = 2x-25\).
Add \(25\) to both sides: \(40 = 2x\).
Divide both sides by \(2\): \(x = 20\).

Answer:

A. 20