Find two angles that are supplementary and vertical at the same time
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Yes, vertical angles can be supplementary, but only in a specific case. Supplementary angles are angles that have measures that sum up to 180°. In order for vertical angles to add up to 180°, it must be the case that the intersecting lines that produced the vertical angles are perpendicular. That is, if vertical angles each have a measure of 90°, then they are supplementary, because 90° + 90° = 180°.
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