Home » In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ…

In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ…

In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.

  • A.
    30o
  • B.
    40o
  • C.
    45o
  • D.
    50o
Correct Answer: Option D
Explanation

< Q = < R (OQ = OR = radii)

< QOR = 180° – 2(40°) = 100°

< QSR = < RPQ = (frac{1}{2}) < QOR

= (frac{100}{2} = 50°)