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

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

  • A.
    68o
  • B.
    102o
  • C.
    107o
  • D.
    141o
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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