passpadi

2003

Mathematics

JAMB

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°

B.

40°

C.

10°

D.

30°

Correct Answer: 40°

Explanation

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

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