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Three rays OA, OB, OC are drawn on one side of line PQ from point O on it, with no overlaps. If angle POA = 50°, angle AOB = 60°, angle BOC = 40°, find angle COQ.

Class 9Linear Pair and Vertically Opposite AnglesGeometry — Lines and Angles
  • A60
  • B27
  • C30
  • D33

Step-by-Step Solution

All angles on one side of line PQ at O sum to 180°. So angle COQ = 180 - (50 + 60 + 40) = 180 - 150 = 30°.
Answer: C) 30

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