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In the diagram PR SV WY TX QY lt PQT 48o and lt... - WAEC Mathematics 2016 Question

In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.
A
120o
B
108o
C
72o
D
60o
correct option: c
In the diagram, < TUQ + 60o(corresp. angles)

< QTU = 48o (alternate angles)

< QU + 60o + 48o = 180o(sum of angles of a \(\Delta\))

< TQU = 180o - 108o

= 72o
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