In the image provided, we are asked to identify a pair of nonadjacent complementary angles. Complementary angles are two angles whose measures add up to 90°.

Let's analyze the angles in the second diagram (right side) where the complementary relationship may exist:

• The angles near point $J$ are: $56^\circ$, $34^\circ$, and $49^\circ$.
• $56^\circ + 34^\circ = 90^\circ$.

Therefore, the pair of nonadjacent complementary angles is $\angle MJL = 56^\circ$ and $\angle NJK = 34^\circ$.

Would you like further details or have any questions?

Related Questions:

1. What are adjacent angles and how do they differ from complementary angles?
2. Can two obtuse angles be complementary? Why or why not?
3. How are supplementary angles different from complementary angles?
4. Can a right angle be part of a complementary pair?
5. How can you identify complementary angles in a diagram like this?

Tip: Complementary angles always add up to 90°, whereas supplementary angles sum to 180°. Keep this in mind to differentiate them easily!