In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

  • A 20o
  • B 25o
  • C 30o
  • D 50o
waec 1999mathematics

The correct answer is A. 20o

< 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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