2004
Mathematics
67ca00ce0c643c71d77dee1f
P, R and S lie on a circle centre O as shown in the diagram while Q lies outside the circle. Find < PSO
A.
35°
B.
40°
C.
45°
D.
55°
Correct Answer: 35°
Explanation
< PRS = 20° + 35° = 55° < POS = 2 < PRS 2 x 55° = 10° < OPS = < PSO = x In △ POS OP = OS(radii) △POS is an isosceles 2x + 110° = 180° 2x = 180° - 110° = 70° x = 70°/2 = 35
< PRS = 20° + 35° = 55° < POS = 2 < PRS 2 x 55° = 10° < OPS = < PSO = x In △ POS OP = OS(radii) △POS is an isosceles 2x + 110° = 180° 2x = 180° - 110° = 70° x = 70°/2 = 35THIS WEEK's
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