Final answer:
In the given figure with parallel lines m and n, if angle m27 is 92°, then angle m28 is also 92°.
Step-by-step explanation:
The given figure shows lines m and n as parallel lines. If angle m27 is given as 92°, we can use the property of corresponding angles to find angle m28.
Corresponding angles are equal when two parallel lines are intersected by a transversal. In this case, line m acts as the transversal.
So, angle m28 is also 92°.
If m₂₇ is 92° and lines m and n are parallel, then because of the Alternate Interior Angles Theorem, m₂₈ will be equal to m₂₇ since they are alternate interior angles formed by a transversal cutting through the parallel lines. Hence, m₂₈ is also 92°.