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Question
what is the measure of \\( \angle adc \\) in quadrilateral \\( abcd \\)?
\\( 45 ^ { \circ } \\)
\\( 65 ^ { \circ } \\)
\\( 115 ^ { \circ } \\)
\\( 135 ^ { \circ } \\)
Step1: Recall the property of parallelogram
In a parallelogram, adjacent angles are supplementary. That is, \(\angle A+\angle ADC = 180^{\circ}\)
Step2: Solve for \(\angle ADC\)
Given \(\angle A=115^{\circ}\), then \(\angle ADC=180^{\circ}-\angle A\)
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\(65^{\circ}\) (the second option)