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.
28o, 36o -
B.
36o, 28o -
C.
43o, 61o -
D.
61o, 43o -
E.
36o, 43o
Correct Answer: Option A
Explanation
yo = 180o – (86o + 58o)
180 – 144 = 36o
xo = 180 – (94 + 58)
180 -152 = 28
(xo, yo) = (28o, 36o)