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Lines AB and CD intersect at O. The bisector of angle AOC is OE. If angle AOC = 80°, find angle BOD and angle AOE.

Class 9Linear Pair and Vertically Opposite AnglesGeometry — Lines and Angles
  • ABOD = 80°, AOE = 40°
  • BBOD = 100°, AOE = 40°
  • CBOD = 80°, AOE = 80°
  • DBOD = 40°, AOE = 40°

Step-by-Step Solution

Angle BOD is vertically opposite angle AOC, so BOD = 80°. OE bisects angle AOC, so AOE = deg.
Answer: A) BOD = 80°, AOE = 40°

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