JAMB - Mathematics (1985 - No. 42)

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 = 86o and NQP = 122o find (xo, yo)
28o, 36o
36o, 28o
43o, 61o
61o, 43o
36o, 43o

Explanation

yo = 180o - (86o + 58o)

180 - 144 = 36o

xo = 180 - (94 + 58)

180 -152 = 28

(xo, yo) = (28o, 36o)

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