Question

#5: ∠npq and ____ are complementary angles. *
∠rpq
∠mpo
∠npm
∠rpo
#6: ∠mpn and ____ are supplementary angles. *
∠mpr
∠npq
∠rpo

Explanation:

Step1: Recall complementary - angles definition

Complementary angles add up to 90°. Since $\angle MPQ = 90^{\circ}$, and $\angle MPQ=\angle MPN+\angle NPQ$. So $\angle NPQ$ and $\angle NPM$ are complementary angles.

Step2: Recall supplementary - angles definition

Supplementary angles add up to 180°. $\angle MPN+\angle MPR = 180^{\circ}$ as they form a linear - pair.

Answer:

#5: C. $\angle NPM$
#6: A. $\angle MPR$