Final answer:
To find the angle measure at the opposite corner of an intersection, knowing one angle is 105°, one would use the property that straight lines form supplementary angles which sum to 180°. Therefore, the angle in the southeast corner would be 180° - 105° = 75°.
Step-by-step explanation:
The student is asking about the angle measures at street intersections, presumably within a geometry context related to parallel lines cut by a transversal or the concept of supplementary angles. The angle in the southwest corner of the intersection of Broadway and 21st Street is given as 105°. To find the angle measure in the southeast corner of the intersection of Broadway and 22nd Street, one would typically use the concept of straight lines and supplementary angles, which sum up to 180°.
Considering Broadway runs generally north-south, and assuming that the streets intersect at right angles, the opposite angles at such intersections would be supplementary angles. Therefore, if the angle at one corner is 105°, the angle at the opposite corner would be 180° - 105° = 75°.
The correct answer to the question is: 75°.