Answer
$\angle$AQB and $\angle$BQC
$\angle$BQC and $\angle$DQC
$\angle$DQC and $\angle$DQA
$\angle$DQA and $\angle$AQB
Work Step by Step
The angles $\angle$AQB and $\angle$BQC are supplementary angles.
$\angle$AQB + $\angle$BQC = 140$^{\circ}$ + 40$^{\circ}$
= 180$^{\circ}$
The angles $\angle$BQC and $\angle$DQC are supplementary angles.
$\angle$BQC + $\angle$DQC = 40$^{\circ}$ + 140$^{\circ}$
= 180$^{\circ}$
The angles $\angle$DQC and $\angle$DQA are supplementary angles.
$\angle$DQC + $\angle$DQA = 40$^{\circ}$ + 140$^{\circ}$
= 180$^{\circ}$
The angles $\angle$DQA and $\angle$AQB are supplementary angles.
$\angle$DQA + $\angle$AQB = 40$^{\circ}$ + 140$^{\circ}$
= 180$^{\circ}$
