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To find m<BCD, we need to solve the equation: (x + 28) + (2 + 48) = 180. Simplifying this equation, we have: x + 28 + 50 = 180.
Combining like terms, we have: x + 78 = 180.
Subtracting 78 from both sides, we have: x = 102.
Therefore, m<BCD = (2 + 48) = 50 degrees.