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

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Mathematics JAMB 1979

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

  • 125o
  • 120o
  • 115o
  • 110o checkmark
  • 10o

The correct answer is: 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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