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

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40°. Find PSQ

A.
20^o
B.
40^o
C.
10^o
D.
30^o

Correct Answer: Option B

Explanation

PS = SR
(bigtriangleup)PSR is an isosceles
< P = < SPQ = 40°
< R = < SRQ
< PSQ = < SRQ (alternate segment)
< PSQ = 40°