Question

1. if two parallel lines are cut by a transversal, what is the relationship between the measures of corresponding angles? 2. are alternate interior angles formed by parallel lines congruent, supplementary, or neither? 3. if a pair of consecutive interior angles add up to 180, what can you conclude about the two lines? 4. what is the measure of an angle that is vertically opposite to an angle of 115?

Explanation:

Step1: Recall corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Recall alternate - interior angles property

When two parallel lines are cut by a transversal, alternate interior angles are congruent.

Step3: Recall consecutive - interior angles property

If a pair of consecutive interior angles add up to 180°, the two lines are parallel.

Step4: Recall vertically - opposite angles property

Vertically opposite angles are congruent. So if one angle is 115°, its vertically opposite angle is also 115°.

Answer:

1. The measures of corresponding angles are equal (congruent).
2. Alternate interior angles formed by parallel lines are congruent.
3. The two lines are parallel.
4. 115°