Final answer:
To find which angles equal 95° when lines L and m are parallel and angle 8 is 85°, apply parallel line angle relationships. The angle equal to 95° is likely the consecutive interior angle to angle 8.
Step-by-step explanation:
The question is regarding the determination of which angles are equal to 95° given that line L is parallel to line m and the measure of ∠8 is 85°. Without a diagram, it's difficult to provide a precise answer, however, we can apply the concepts of parallel lines and transversals to help explain. When two lines are parallel, the corresponding angles and alternate interior angles formed by a transversal are congruent, and consecutive interior angles add up to 180°.
If ∠8 is an alternate interior angle, then the angle across from it (∠4 if we consider standard labeling) will also be 85°. If we are looking for angles that sum up to 180°, then we need to identify consecutive interior angles with respect to ∠8's position. Assuming ∠7 is the consecutive interior angle to ∠8, then ∠7 will be 95° because 180° - 85° = 95°.