Subjects geometry

Angle Pairs 5C9E82

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1. Let's first define the types of angle pairs mentioned: - Supplementary angles: Two angles whose measures add up to $180^\circ$. - Complementary angles: Two angles whose measures add up to $90^\circ$. - Adjacent angles: Two angles that share a common side and vertex, and do not overlap. - Vertical angles: Two angles opposite each other when two lines intersect; they are always equal. 2. The problem states that only 3 of the angle pairs are supplementary, complementary, adjacent, or vertical. This means among all angle pairs given, only three fit into these categories. 3. To identify which pairs are these three, you would: - Check if the sum of their measures is $180^\circ$ (supplementary). - Check if the sum of their measures is $90^\circ$ (complementary). - Check if they share a common side and vertex without overlapping (adjacent). - Check if they are opposite angles formed by intersecting lines (vertical). 4. Without specific angle measures or a diagram, we cannot determine exactly which pairs these are, but the key is to apply these definitions to each pair. 5. Remember, an angle pair can only belong to one of these categories at a time based on their properties. Final answer: Only 3 angle pairs satisfy the conditions of being supplementary, complementary, adjacent, or vertical based on their measures and positions.