1) Given that the measure of Angle 2 = 115 degrees and the measure of Angle 8 = 115 degrees, is line m parallel to line p?

YES

Step-by-step explanation:

When a transversal cuts two parallel lines, the alternate interior angles are congruent. So, for two lines to be parallel, their alternate interior angles has to be equal.

Angle 2 and angle 8 are alternate interior angles. They both measure 115°. Since these alternate interior angles are congruent, therefore, line m is parallel to line p.

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