Question

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

Explanation:

To determine if \(\angle NKJ\) and \(\angle JKM\) are supplementary, we recall that supplementary angles sum to \(180^\circ\) (a straight angle). From the diagram, points \(N\), \(K\), \(M\) appear to lie on a straight line (since \(N\) and \(M\) are on lines in the diagram with \(K\) as a common vertex, and the angles at \(K\) between \(N\), \(K\), \(M\) form a linear pair). A linear pair of angles is supplementary. So, we can assume the angles are supplementary.

Answer:

Yes, you can assume the statement.