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)
Attached Figure / Diagram
A
28o, 36o
B
36o, 28o
C
43o, 61o
D
61o, 43o
E
36o, 43o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
yo = 180o - (86o + 58o)
180 - 144 = 36o
xo = 180 - (94 + 58)
180 -152 = 28
(xo, yo) = (28o, 36o)
Source: Myschool Past Questions Archive (Record #32801)