Answer
$\angle$MWN and $\angle$FRG
$\angle$POC and $\angle$QOC
Work Step by Step
The angles $\angle$BOA and $\angle$COB are complementary angles.
$\angle$BOA + $\angle$COB = 31$^{\circ}$ + 59$^{\circ}$
= 90$^{\circ}$
The angles $\angle$POC and $\angle$QOC are complementary angles.
$\angle$POC + $\angle$QOC = 45$^{\circ}$ + 45$^{\circ}$
= 90$^{\circ}$