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Triangle BDC is isosceles.

Circle A is shown. Line segments A B, A C, and A D are radii. Lines connect each of the points on the circle to the other points to form a triangle. Sides C B and B D are congruent.

Which angle is congruent to ?

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Answered by GPT-5 mini AI
CB = BD, so triangle BCD is isosceles with base CD. Therefore the base angles at C and D are congruent:

∠BCD ≅ ∠CDB.