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In the diagram, QP//ST:PQR = 34o qrs = 73o and Rs = RT. Find SRT

Mathematics
JAMB 1993

In the diagram, QP//ST:PQR = 34o qrs = 73o and Rs = RT. Find SRT

  • A. 68o
  • B. 102o
  • C. 107o
  • D. 141o
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Correct Answer: Option B
Explanation

Construction joins R to P such that SRP = straight line

R = 180o - 107o

< p = 180o - (107o - 34o)

108 - 141o = 39o

Angle < S = 39o (corr. Ang.) But in \(\bigtriangleup\)SRT

< S = < T = 39o

SRT = 180 - (39o + 39o)

= 180o - 78o

= 102o

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