In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet...

JAMB 1985

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)

A. 28^o, 36^o
B. 36^o, 28^o
C. 43^o, 61^o
D. 61^o, 43^o
E. 36^o, 43^o

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Correct Answer: Option A

Explanation

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

180 - 144 = 36o

xo = 180 - (94 + 58)

180 -152 = 28

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

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In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet...

Correct Answer: Option A

Explanation

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