In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86° and NQP = 122°. find (x°, y°)
 

  • A 28o, 36o
  • B 36o, 28o
  • C 43o, 61o
  • D 61o, 43o
  • E 36o, 43o
jamb 1985mathematics

The correct answer is A. 28o, 36o

yo = 180° - (86° + 58°)

180 - 144 = 36°

xo = 180 - (94 + 58)

180 -152 = 28

(x°, y°) = (28°, 36°)

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