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Geometry Problem 422: The Intricate Connection Between Angles and Congruence in Triangles: Unraveling the Mystery of 24 and 30 Degrees

Consider triangle ABC and cevian BD, where A and C are 24 and 30 degrees, respectively. If AB = CD, what is the measure of angle BDC?
 

Triangle, Cevian, Angle, 30, 24 degree
 

Problem 422
Angles and congruence,
Intricate connection weaves,
Mystery unfolds.

In triangle's realm,
A, C, 24, and 30 meet.
BDC, what's its size?

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