Question

decide whether pairs of angles ∠1 and ∠2, ∠6 and ∠1, and ∠5 and ∠6 are alternate interior angles, same - side interior angles, corresponding angles, or alternate exterior angles. choose the statement that correctly describes angles 1 and 2. a. angles 1 and 2 are alternate interior angles. b. angles 1 and 2 are corresponding angles. c. angles 1 and 2 are alternate exterior angles. d. angles 1 and 2 are same - side interior angles. choose the statement that correctly describes angles 6 and 1. a. angles 6 and 1 are same - side interior angles. b. angles 6 and 1 are alternate interior angles. c. angles 6 and 1 are alternate exterior angles. d. angles 6 and 1 are corresponding angles.

Explanation:

Step1: Recall angle - pair definitions

Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Corresponding angles are in the same relative position with respect to the lines and the transversal. Same - side interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze ∠1 and ∠2

∠1 and ∠2 are in the same relative position with respect to the two lines and the transversal. So, they are corresponding angles.

Step3: Analyze ∠6 and ∠1

∠6 and ∠1 are between the two lines and on the same side of the transversal. So, they are same - side interior angles.

Answer:

1. B. Angles 1 and 2 are corresponding angles.
2. A. Angles 6 and 1 are same - side interior angles.