List all pairs of vertical angles.
Mathematics · College · Thu Feb 04 2021
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Vertical angles are the opposite angles formed when two lines intersect. They are called "vertical" because they share the same vertex (or corner point), not because they are oriented vertically on the page.
To list all pairs of vertical angles, follow these steps: 1. Identify the intersection where two straight lines cross each other. 2. Locate the angles that are across from one another, sharing only the vertex and not a side. 3. Pair the opposite angles together. These are your vertical angle pairs.
If you have a diagram with intersecting lines, label the angles as A, B, C, and D, where A and C share a vertex but not a side, and B and D share a vertex but not a side. In this setup, A and C would be a pair of vertical angles, and likewise, B and D would form the other pair of vertical angles.
For example, if lines AB and CD intersect at point X forming angles AXD, BXC, CXA, and DXB, then AXD and BXC are a pair of vertical angles, and CXA and DXB are the other pair of vertical angles.