Question

decide whether pairs of angles.
pairs of angles:

• (angle1) and (angle2), (angle6) and (angle5) 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 exterior angles.
b. angles 1 and 2 are same - side interior angles.
c. angles 1 and 2 are alternate interior angles.
d. angles 1 and 2 are corresponding angles.

• choose the statement that correctly describes angles 6 and 1.

a. angles 6 and 1 are alternate interior angles.
b. angles 6 and 1 are corresponding angles.
c. angles 6 and 1 are same - side interior angles.
d. angles 6 and 1 are alternate exterior angles.

Explanation:

Step1: Recall angle - pair definitions

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

Step2: Analyze angles 1 and 2

Angles 1 and 2 are inside the two lines and on opposite sides of the transversal, so they are alternate interior angles.

Step3: Analyze angles 6 and 1

Angles 6 and 1 are in the same relative position with respect to the two lines and the transversal, so they are corresponding angles.

Answer:

For angles 1 and 2: C. Angles 1 and 2 are alternate interior angles.
For angles 6 and 1: B. Angles 6 and 1 are corresponding angles.