An equal angle is to a vertex______ (true proposition or false proposition)

An equal angle is to a vertex______ (true proposition or false proposition)

An equal angle refers to an angle of equal size; a vertex angle is an opposite vertex angle if both sides of an angle are opposite extension lines of both sides of the other angle, and the two angles share a common vertex; it can be seen that an opposite vertex angle must be an equal angle, and an equal angle does not have to be an opposite vertex angle, so the original proposition is a false proposition