Question

find the value of x so that l || m.
25°
(7x + 15)°

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, \(n\parallel m\), so \(25^{\circ}=(3x + 15)^{\circ}\)

Step2: Solve the equation for \(x\)

Subtract \(15\) from both sides of the equation \(25 = 3x+15\).
\(25-15=3x+15 - 15\)
\(10 = 3x\)
Divide both sides by \(3\): \(x=\frac{10}{3}\approx3.33\)

Answer:

\(x = \frac{10}{3}\)