Question

parallel lines and transversals
if parallel lines are cut by a transversal, then...
corresponding angles
the pair of corresponding angles are
consecutive (same side) interior angles
the pair of same side interior angles are
consecutive (same side) exterior angles
the pair of same side exterior angles are
alternate interior angles
the pair of alternate interior angles are
alternate exterior angles
the pair of alternate exterior angles are

1. suppose m∠3 = 102° in the figure to the

Explanation:

Step1: Recall angle - relationships

When parallel lines are cut by a transversal:

• Corresponding angles are congruent.
• Same - side interior angles are supplementary (sum to 180°).
• Same - side exterior angles are supplementary.
• Alternate interior angles are congruent.
• Alternate exterior angles are congruent.

Step2: Fill in the blanks

1. For corresponding angles: If parallel lines are cut by a transversal, the pair of corresponding angles are congruent.
2. For consecutive (same - side) interior angles: If parallel lines are cut by a transversal, the pair of same - side interior angles are supplementary.
3. For consecutive (same - side) exterior angles: If parallel lines are cut by a transversal, the pair of same - side exterior angles are supplementary.
4. For alternate interior angles: If parallel lines are cut by a transversal, the pair of alternate interior angles are congruent.
5. For alternate exterior angles: If parallel lines are cut by a transversal, the pair of alternate exterior angles are congruent.

Answer:

1. Congruent
2. Supplementary
3. Supplementary
4. Congruent
5. Congruent