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

MATHEMATICS

WAEC 2016

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

A. 120°
B. 108°
C. 72°
D. 60°

Correct Answer: C. 72°

Explanation

In the diagram,< TUQ + 60^o(corresp. angles)

< QTU = 48^o (alternate angles)

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

< TQU = 180^o - 108^o

= 72^o

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