Question

given $m \parallel n$, find the value of $x$.
(image of two parallel lines m and n cut by a transversal, with one angle labeled $(7x - 1)^circ$ and the corresponding angle on the other parallel line labeled $111^circ$)
answer attempt 1 out of 2
$x = \square$

Explanation:

Step1: Identify the relationship

Since \( m \parallel n \), the corresponding angles are equal. So \( 7x - 1 = 111 \).

Step2: Solve for \( x \)

Add 1 to both sides: \( 7x = 111 + 1 = 112 \).
Divide both sides by 7: \( x = \frac{112}{7} = 16 \).

Answer:

\( x = 16 \)