When two unique lines intersect, two pairs of equal angles will be formed. All four angles could be 90 degrees (right angles) if the lines are perpendicular. If the lines are oblique, the pairs of angles can vary (almost) infinitely within a given range (1 degree-179 degrees).
The intersection of two lines results in two pairs of equal angles such that the sum of angles equals 360. Another way to state this is that two adjacent angles will always sum to 180 degrees. That said, the best we can do is to express one angle in terms of the other. Call a pair of adjacent angles a and b. In the case of two adjacent angles, a = 180 - b, or b = 180 - a.
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Two pairs of adjacent angles are formed when two lines intersect each other.
vertical angles
If you draw two lines intersecting, you'll see that they create 4 angles.
Two lines that intersect to form right angles are perpendicular.
Perpendicular lines intersect each other at right angles.