Mathematics

In the diagram above PQT is a tangent to the circle QRS at Q. Angle…

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QRT

  • A.
    48o
  • B.
    45o
  • C.
    37o
  • D.
    32o
  • E.
    30o
Correct Answer: Option C
Explanation

∠RQT = 180° – (95° + 48°) = 73°
∠OQR = 90° – 37° = 53°
∠QOR = 180° – (53° + 53°) = 74°
QSR = 74°/2 = 37°