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what is the measure of \\( \\angle adc \\) in quadrilateral \\( abcd \\…

Question

what is the measure of \\( \angle adc \\) in quadrilateral \\( abcd \\)?
\\( 45 ^ { \circ } \\)
\\( 65 ^ { \circ } \\)
\\( 115 ^ { \circ } \\)
\\( 135 ^ { \circ } \\)

Explanation:

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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Answer:

\(65^{\circ}\) (the second option)