Question

1. 6) x = ____ x = ____

Explanation:

Step1: Identify angle - pair relationship in 5

The two lines are parallel. The angle marked \(71^{\circ}\) and \(x\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.
So \(x = 71^{\circ}\)

Step2: Identify angle - pair relationship in 6

The two lines are parallel. The angle marked \(88^{\circ}\) and \(x\) are alternate - exterior angles. Alternate - exterior angles are equal when two parallel lines are cut by a transversal.
So \(x = 88^{\circ}\)

Answer:

1. \(x = 71^{\circ}\)
2. \(x = 88^{\circ}\)