Question

parallel lines e and f are cut by transversal b.
what is the value of x?
1
37
25
5

Explanation:

Step1: Use the property of alternate interior angles

Since lines \(e\) and \(f\) are parallel and cut by transversal \(b\), then \(2x + 10=3x - 15\) (alternate - interior angles are equal).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(2x+10 - 2x=3x - 15-2x\), which gives \(10=x - 15\).
Add \(15\) to both sides: \(10 + 15=x-15 + 15\), so \(x = 25\).

Answer:

\(25\)