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In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\)....

Mathematics
JAMB 1979

In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is

  • A. 125o
  • B. 120o
  • C. 115o
  • D. 110o
  • E. 10o
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Correct Answer: Option D
Explanation

Both pairs of opp. angles are equal

< STP = 55\(^o\) - isosceles angle

< TSR = 55\(^o\) - alternate angle to < STP

Hence, < PSR = 55\(^o\) + 55\(^o\) = 110\(^o\)

\(\therefore\) < PQR = 110\(^o\)

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts