Home » In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| =…

In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| =…

In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.

  • A.
    160o
  • B.
    140o
  • C.
    120o
  • D.
    100o
Correct Answer: Option D
Explanation

< T = < S = 50° (OS = OT)

< SOT = 180° – 2(50°) = 80°

< ROP = 80° (vertically opposite angle)

(therefore) < OPQ = 180° – 80° = 100° (adjacent angles)

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