In the diagram, PQRs is a circle with 0 as centre and PQ/RT. If RTS = 32∘ ? . Find PSQ

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

Question 1 Report

In the diagram, PQRs is a circle with 0 as centre and PQ/RT. If RTS = $^{\circ}$ . Find PSQ

32

^{\circ}

45

^{\circ}

58

^{\circ}

90

^{\circ}

Answer Details

< PSO = $\frac{1}{2}$ < SOQ = $\frac{1}{2}$ (180) = 90 $^{\circ}$

< RTS = < PQS = 32 $^{\circ}$ (Alternative angle)

< PSQ = 90 - < PSQ = 90 $^{\circ}$ - 32 $^{\circ}$

= 58 $^{\circ}$

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