2004
Mathematics
67ca00ce0c643c71d77dee1f
P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO
A.
45°
B.
55°
C.
35°
D.
40°
Correct Answer: 35°
Explanation
x° = 35 + 29 (Exterior angle = sum of two interior opposite angles) x = 55° (∠ at the center twice ∠ at circumference) y = 110° ∠PSO = ∠SPO (base ∠S of 1sc Δ b/c PO = SO) ∴ ∠PSO = (180 - 110)/2 = 35°
x° = 35 + 29 (Exterior angle = sum of two interior opposite angles) x = 55° (∠ at the center twice ∠ at circumference) y = 110° ∠PSO = ∠SPO (base ∠S of 1sc Δ b/c PO = SO) ∴ ∠PSO = (180 - 110)/2 = 35°THIS WEEK's
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