Question

In the following figure, a = b = c. Name the angle which is congruent to angle AOC:
a) angle AOB
(b) angle BOD
(c) angle BOC
(d) angle COD
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Answer 1

The above picture is your answer...........

Answer 2

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From the figure we have ∠ AOB = ∠ BOC = ∠ COD

Therefore,

∠ AOB = ∠COD

Also,

∠ AOB + ∠ BOC = ∠ BOC + ∠ COD

∠ AOC = ∠ BOD

Hence, ∠ BOD ≅∠ AOC

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