Question

decide whether each of the pairs of angles given below and illustrated in the diagram to the right are alternate interior angles, same - side interior angles, corresponding angles, or alternate exterior angles. 1. and 2. and 3. and 4. and 5. and 6. and choose the statement that correctly describes the pair and a. and are same - side interior angles. b. and are corresponding angles. c. and are alternate interior angles. d. and are alternate exterior angles.

Explanation:

Step1: Recall angle - pair definitions

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

Step2: Analyze the pair ∠1 and ∠3

∠1 and ∠3 are in the same relative position with respect to the transversal and the two lines. They are corresponding angles.

Answer:

B. ∠1 and ∠3 are corresponding angles.