As per definition:
- Complementary angles are adjacent angles that sum to 90°;
- Supplementary angles are adjacent angles that sum to 180°.
Now, ORQ is a straight angle and RS its bisector.
It means:
So, ∠ORS and ∠QRS are supplementary.
We also have ray RP, that divides the angles ORQ and QRS.
It gives us one more pair of supplementary angles:
Since ∠QRS is right angle, its parts are forming a pair of complementary angles:
- ∠SRP and ∠QRP are complementary