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Answer:The total of this whole angle, which is represented by ∠ABD, measures 64°.We are given that apart of this angle, ∠CBD measures 30°, so that'd mean that the other part of this angle, ∠ABC, would measure 34°.This is because both angles ABC and CBD combined would equal a total of 64°.So we set up the equation;30 + x = 64-30       -30x = 34°, therefore ∠ABC = 34°.