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Question
problem 4: (first taught in lesson 52) complete this sentence with the best of the choices given. pairs of angles of a parallelogram are supplementary. after you pick your answer press go. a. remote b. opposite c. all d. consecutive e. no
Step1: Recall properties of parallelogram
In a parallelogram, consecutive angles are supplementary. That is, if we have a parallelogram \(ABCD\) with \(\angle A\) and \(\angle B\) being consecutive angles, then \(\angle A+\angle B = 180^{\circ}\).
Opposite angles are equal (\(\angle A=\angle C\), \(\angle B=\angle D\)). Remote angles is not a standard term for parallelogram - angle relationships in this context. And not all pairs of angles are supplementary (since opposite angles are equal and if they were supplementary, all angles would be \(90^{\circ}\), making it a rectangle, which is a special case). Also, it's not that no pairs are supplementary.
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D. Consecutive