## Prealgebra (7th Edition)

$\angle SQT+\angle TQV= 58^{\circ}+32^{\circ}=90^{\circ}$ $\angle PQS+\angle VQR= 47^{\circ}+43^{\circ}=90^{\circ}$
Two angles are complementary if they add up to $90^{\circ}$, which is a right angle. In the picture, there are 4 different angles, but only 2 pairs can be formed, where they add up to $90^{\circ}$. $\angle SQT+\angle TQV= 58^{\circ}+32^{\circ}=90^{\circ}$ $\angle PQS+\angle VQR= 47^{\circ}+43^{\circ}=90^{\circ}$