Given two intersecting lines, the two angles opposite each other have the same measure and are congruent.
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exterior angle theorem
It can be almost any measure but the important thing to remember is that vertical angles are congruent, so any angle that is vertical to another has the same measurement as the angle it is vertical to.
a point on the bisector of an angle, it is equidistant from the 2 sides of the angle
No, it does not.
Pythagoras' theorem is applicable to right angle triangles