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line p and line q are ________. a. parallel b. not parallel, because th…

Question

line p and line q are ________. a. parallel b. not parallel, because the two given alternate interior angles are not congruent c. not parallel, because the two given corresponding angles are not congruent d. not parallel, because the two given consecutive interior angles are not supplementary

Explanation:

Step1: Recall the properties of parallel lines

If two lines are parallel, then corresponding angles are congruent.

Step2: Compare the given angles

Here, the given angles are \(108^{\circ}\) and \(110^{\circ}\). Since \(108^{\circ}
eq110^{\circ}\), the corresponding angles are not congruent.

Answer:

C. not parallel, because the two given corresponding angles are not congruent