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in Triangles by (56.3k points)

In fig., a = b = c, name the angle which is congruent to ∠AOC.

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Best answer

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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