Question

determine whether each pair of angles will be supplementary (adds up to 180 degrees) or congruent. (6 points)
supplementary congruent
corresponding angles
alternate interior angles
consecutive exterior angles
alternate exterior angles
consecutive interior angles
vertical angles

Explanation:

Step1: Recall angle - pair properties

Use known geometric angle - pair relationships.

Step2: Analyze corresponding angles

Corresponding angles formed by a transversal intersecting two parallel lines are congruent.

Step3: Analyze alternate interior angles

Alternate interior angles formed by a transversal intersecting two parallel lines are congruent.

Step4: Analyze consecutive exterior angles

Consecutive exterior angles formed by a transversal intersecting two parallel lines are supplementary.

Step5: Analyze alternate exterior angles

Alternate exterior angles formed by a transversal intersecting two parallel lines are congruent.

Step6: Analyze consecutive interior angles

Consecutive interior angles formed by a transversal intersecting two parallel lines are supplementary.

Step7: Analyze vertical angles

Vertical angles are always congruent.

Answer:

Corresponding Angles: Congruent
Alternate Interior Angles: Congruent
Consecutive Exterior Angles: Supplementary
Alternate Exterior Angles: Congruent
Consecutive Interior Angles: Supplementary
Vertical Angles: Congruent