When lines AB and CD intersect at point E, what type of angles are formed between angles AEC and DEB?

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When lines AB and CD intersect at point E, the angles formed at that intersection, specifically angles AEC and DEB, are known as vertical angles. Vertical angles are pairs of angles that are opposite each other when two lines cross. When two lines intersect, the angles that are formed opposite each other (like AEC and DEB) are equal in measure.

In this case, angle AEC and angle DEB are not only vertical to one another, but they also reinforce the geometric property that vertical angles are always congruent. This property is crucial in many geometric proofs and applications, making the identification of vertical angles essential in understanding the relationships between angles in intersections of lines.

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