Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. They are congruent, meaning they have the same measure. In other words, vertical angles are opposite each other when two lines intersect, and their measures are equal.
Chat with our AI personalities
Vertical angles are angles formed by the intersection of two lines. Verticle angles share a vertex but do not share any rays. If that was too wordy, look at the diagram.
............l....................
............lC..................
............l....................
............l....................
_________________
B..........l.D...........E.....
............l....................
............l....................
............l.A..................
Say angle 1 is 40 which means that if angle 3 is congruent then angle 3 is also 40 by definition of vertical angles. That would make angle 2 equal to 140 by definition of a linear pair and so angle 4 is congruent by vertical angles.
Which is angle 1 and which is 6 and where are all the others?
zero
A vertical angle is perpendicular to a horizontal base and equals 90 degrees
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.