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Lines AB and CD cross at O, and ray OE lies between OA and OC. ∠EOC = 60° and ∠BOD = 110°. Find ∠AOE.

Class 7Angles Around a PointLines and Angles
  • A50°
  • B70°
  • C60°
  • D110°

Step-by-Step Solution

∠AOC and ∠BOD are vertically opposite, so ∠AOC = 110°. ∠AOE = ∠AOC − ∠EOC = 110° − 60° = 50°.
Answer: A) 50°

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