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In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find <...

Mathematics
WAEC 2016

In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.

  • A. 120o
  • B. 108o
  • C. 72o
  • D. 60o
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Correct Answer: Option C
Explanation

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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