Question

identify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior, vertical, or linear pair.
7)
8)
9)
10)
11)

Explanation:

• For 7: Angles \(x\) and \(y\) are adjacent and form a straight line. By the definition of a linear pair (two adjacent angles whose non - common sides form a straight line), they are a linear pair.
• For 8: The angles \(x\) and \(y\) are on opposite sides of the transversal and outside the two parallel lines. According to the definition of alternate exterior angles (angles that lie outside two lines and on opposite sides of a transversal), they are alternate exterior angles.
• For 9: The angles \(x\) and \(y\) are on opposite sides of the transversal and inside the two parallel lines. Using the definition of alternate interior angles (angles that lie between two lines and on opposite sides of a transversal), they are alternate interior angles.
• For 10: Angles \(x\) and \(y\) are adjacent and form a straight line. Based on the definition of a linear pair (two adjacent angles whose non - common sides form a straight line), they are a linear pair.
• For 11: The angles \(x\) and \(y\) are in the same relative position with respect to the parallel lines and the transversal. By the definition of corresponding angles (angles that are in the same relative position with respect to two lines and a transversal), they are corresponding angles.

Answer:

1. Linear pair
2. Alternate exterior
3. Alternate interior
4. Linear pair
5. Corresponding