Question

classify the angle pair $\angle mnq$ and $\angle qnp$.
adjacent and neither complementary nor supplementary
a linear pair
adjacent and complementary
nonadjacent and complementary

Explanation:

Step1: Check if angles are adjacent

Adjacent angles share a common vertex (\(N\)) and a common side (\(NQ\)). \(\angle MNQ\) and \(\angle QNP\) share vertex \(N\) and side \(NQ\), so they are adjacent.

Step2: Check if angles are complementary or supplementary

Complementary angles sum to \(90^{\circ}\). \(\angle MNQ = 50^{\circ}\), \(\angle QNP=40^{\circ}\). \(50^{\circ}+40^{\circ}=90^{\circ}\).

Answer:

Adjacent and complementary