In the diagram, \(QP // ST\): \(PQR = 34^\circ\) \(QRS = 73^\circ\) and \(RS = RT\). Find \(SRT\)

Assessment: JAMB UTME - Mathematics - 1993 Subject: General Mathematics

Question 1 Report

In the diagram, \(QP // ST\): \(PQR = 34^\circ\) \(QRS = 73^\circ\) and \(RS = RT\). Find \(SRT\)

Answer Details
Construction joins R to P such that SRP = straight line

R = 180 ∘  - 107 ∘

< p = 180 ∘  - (107 ∘  - 34 ∘ )

108 - 141 ∘  = 39 ∘

Angle < S = 39 ∘  (corr. Ang.) But in  △ SRT

< S = < T = 39 ∘

SRT = 180 - (39 ∘  + 39 ∘ )

= 180 ∘  - 78 ∘

= 102

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