Question

angleAOB = angleBOC = angleCOD.
Name the angle which is congruent to angleAOC.
Give reasons in support of your answer. ​

Answer 1

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Answer 2

Answer:

Angle BOD

Step-by-step explanation:

Angle AOB = BOC = COD ----------- (1)

Therefore, AOC = Angle AOB + Angle BOC

Now, BOD = Angle BOC + Angle COD

We can also write it as,

Angle BOD = Angle AOB + Angle COD ( From 1 )

Therefore, Angle BOD = Angle AOC

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