Mathematics

In the diagram above, PQR is a straight line and PS is a tangent to…

In the diagram above, PQR is a straight line and PS is a tangent to the circle QRS with /PS/ = /SR/ and ∠SPR = 40°. Find ∠PSQ

  • A.
    40o
  • B.
    30o
  • C.
    20o
  • D.
    10o
Correct Answer: Option A
Explanation

R = P (base ∠s of isc Δ, ps = RS)
∴R = 40°
∠PSQ = R (∠s in alternate segment)
∴∠PSQ = 40°