**Problem Statement:** 16. If \( m \angle 1 = (x + 92)^\circ \) and \( m \angle 2 = (x + 104)^\circ \), find \( m \angle 2 \). **Diagram Description:** The diagram features two parallel lines intersected by a transversal. The angles formed by the intersection are labeled as \( \angle 1 \) and \( \angle 2 \). The transversal creates alternate interior angles, which are related by the expressions given. **Solution Strategy:** To find \( m \angle 2 \), use the relationships between angles: - Recognize that \( \angle 1 \) and \( \angle 2 \) might share a geometric property (such as being alternate interior angles in parallel lines), but the key is solving the equations directly given their expressions. 1. Equate the measures of \( \angle 1 \) and \( \angle 2 \) since they are likely congruent if the lines are parallel: \[ (x + 92) = (x + 104) \] 2. Solve for \( x \). 3. Substitute \( x \) back into the expression for \( m \angle 2 \): \[ m \angle 2 = (x + 104)^\circ \] This approach will help determine the specific measure of \( m \angle 2 \).