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Bisectors of angle A and angle B of parallelogram ABCD meet at point O.
Using the adjacent-angle property, find angle AOB (in degrees).

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • A180
  • B99
  • C81
  • D90

Step-by-Step Solution

Angle A + angle B = 180 (adjacent). Half-angles: angle OAB + angle OBA = 90. In triangle AOB, angle AOB = 180 - 90 = 90°.
Answer: D) 90

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