In the diagram bar PF bar QT bar RG intersect a... - WAEC Mathematics 2016 Question
In the diagram, (\bar{PF}), (\bar{QT}), (\bar{RG}) intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ
A
22o
B
45o
C
67o
D
89o
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Correct Option: B
In In the diagram given, (\alpha) = 22o (vertically opp. angles), (\alpha) = (\beta) (alternate angles)
< PSQ + 133o + (\beta) = 180o (sum of angles of a (\Delta))
< PSQ + 133o + 22o = 180o
< PSQ = 180o - (133 + 22)o
45o
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