vertical angles
A pair of opposite congruent angles formed by intersecting lines
Vertical angles are pairs of opposite angles formed by two intersecting lines. These angles have the same degree measure, and they are opposite each other. Specifically, vertical angles are formed by two pairs of opposite rays, where each ray of one pair is perpendicular to each ray of the other pair.
The most important property of vertical angles is that they are congruent. This means that the degree measure of one vertical angle is equal to the degree measure of its opposite vertical angle. In other words, if angle A and angle B are vertical angles, then angle A is congruent to angle B.
Another important property of vertical angles is that they are non-adjacent angles. This means that they do not share a common side, but they are located opposite to each other. Because of this, the measurement of one vertical angle cannot be used to find the measurement of the other adjacent angle.
In summary, vertical angles are pairs of opposite angles formed when two intersecting lines cross each other. They are congruent and non-adjacent, which makes them useful in solving problems in geometry and trigonometry.
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