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 = \(86^\circ\) and NQP = ...

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

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 = \(86^\circ\) and NQP = \(122^\circ\) find (\(x^\circ\), \(y^\circ\))

Answer Details
y ∘  = 180 ∘  - (86 ∘  + 58 ∘ )

180 - 144 = 36 ∘

x ∘  = 180 - (94 + 58)

180 -152 = 28

(x ∘ , y ∘ ) = (28 ∘ , 36 ∘ )

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