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Question
if db is a bisector, what is the measure of angle dbc? *
Step1: Recall the definition of an angle bisector
An angle bisector divides an angle into two equal parts.
Step2: Calculate the measure of angle \(DBC\)
Since \(DB\) is an angle bisector, \(\angle ABD=\angle DBC\). Given \(\angle ABD = 65^{\circ}\), so \(\angle DBC=65^{\circ}\)
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\(65^{\circ}\) (the first option)