Question

use the diagram to determine whether you can assume the statement. ∠nkl and ∠jkm are vertical angles. yes, you can assume the statement. no, you cannot assume the statement.

Explanation:

To determine if ∠NKL and ∠JKM are vertical angles, we recall the definition of vertical angles: they are formed by two intersecting lines and are opposite each other. From the diagram, we analyze the lines forming these angles. The lines that would form vertical angles should intersect, and the angles should be opposite. Looking at the diagram, ∠NKL and ∠JKM are formed by the intersection of lines (or segments) such that they are opposite each other when considering the intersection point. So, based on the diagram's representation (showing the intersection and the angle positions), we can assume they are vertical angles.

Answer:

Yes, you can assume the statement.