In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| =
MATHEMATICS
WAEC 2000
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
- A. 160°
- B. 140°
- C. 120°
- D. 100°
Correct Answer: D. 100°
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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