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

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 40°
B 30°
C 20°
D 10°

jamb 2003 mathematics

The correct answer is A. 40°

R = P (base ∠s of isc Δ, ps = RS)

∴R = 40°

∠PSQ = R (∠s in alternate segment)

∴∠PSQ = 40°

Previous question Next question