Respuesta :

mhanifa

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:

  • ORS = QRS = 180°/2 = 90°

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:

  • ∠ORP and ∠QRP.

Since ∠QRS is right angle, its parts are forming a pair of complementary angles:

  • ∠SRP and ∠QRP are complementary

Otras preguntas