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Question

A ray OC is constructed on the line segment AB such that ∠BOC is x.  ∠AOC is ____


  1. x

  2. 180 - x

  3. 90 - x

  4. 360 - x


Solution

The correct option is B

180 - x


AB is a straight line and the ray OC is drawn on the line segment AB.

Therefore,
AOC + BOC = 180   (AOC and BOC are linear pair of angles)

AOC = 180 - BOC

            = 180 – x

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