In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO =...
MATHEMATICS
WAEC 1999
In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.
- A. 20°
- B. 25°
- C. 30°
- D. 50°
Correct Answer: A. 20°
Explanation
< QOR = 50° x 2 = 100°
Reflex < QOR = 360° - 100° = 260°
\(\therefore\) 30° + 50° + 260° + m = (4 - 2) x 180°
340° + m = 360°
m = 360° - 340° = 20°
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