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



In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is
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  • A 125o
  • B 120o
  • C 115o
  • D 110o
  • E 10o
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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