Question

use the diagrams. name a pair of nonadjacent supplementary angles.

Explanation:

Supplementary angles add up to 180 degrees. Non - adjacent supplementary angles are not next to each other. In the second diagram, $\angle LJM = 56^{\circ}$ and $\angle MJN=34^{\circ}$, $\angle NJP = 49^{\circ}$, and $\angle KJL = 90^{\circ}$. The sum of $\angle KJL$ and $\angle LJM+\angle MJN+\angle NJP$ is $90 + 56+34 + 49=229
eq180$. In the first diagram, there are no obvious non - adjacent supplementary angles. In the second diagram, if we consider the whole - circle around point $J$ which is $360^{\circ}$, and we know that $\angle KJP = 180^{\circ}$ (a straight line). We can say that $\angle KJL$ and $\angle LJP$ are non - adjacent supplementary angles since $\angle KJL = 90^{\circ}$ and $\angle LJP=90^{\circ}$ and they are not adjacent.

Answer:

$\angle KJL$ and $\angle LJP$