Name a pair of same- side interior angles. 1 and 6 1 and 8 2 and 6 3 and 5 THIS If m 4 = 105 degrees, then what is M 8? 105 75 THIS 175 25

 If we are considering the naming of angles in reference to two parallel lines cut by a transversal, then the correct pair of same-side interior angles would indeed be 3 and 5 based on standard naming conventions. The rest of the pairs you provided (1 and 6, 1 and 8, and 2 and 6) would not be same-side interior angles.

Regarding the measure of angle 8 given that m∠4 = 105 degrees:

If angle 4 and angle 8 are either corresponding angles, alternate interior angles, or alternate exterior angles, then they would be congruent (equal in measurement) because the lines are parallel and the transversal cuts across them. This would mean m∠8 would also be 105 degrees.

However, if angle 4 and angle 8 are same-side interior angles, then their measures would be supplementary if the lines are parallel. That means that they would add up to 180 degrees. Therefore:

m∠4 + m∠8 = 180 degrees

Given that m∠4 = 105 degrees, we substitute and solve for m∠8:

105 degrees + m∠8 = 180 degrees m∠8 = 180 degrees - 105 degrees m∠8 = 75 degrees

So, if angle 4 and angle 8 are same-side interior angles, m∠8 would be 75 degrees.