Question

definition of an angle
durus definition: an angle is two rays, such as
\\( \overrightarrow { v a } \\) and \\( \overrightarrow { v b } \\), that share a common vertex,
which in this case would be point \\( v \\).
olivers definition: an angle is the amount of
space between two rays. for example, \\( \angle a v b \\)
is the amount of turn between \\( \overrightarrow { v a } \\) and \\( \overrightarrow { v b } \\).
carlos definition: the intersection of two lines,
such as \\( \overleftrightarrow { a c } \\) and \\( \overleftrightarrow { b d } \\).
teachers comments
ere you thinking of
the measure of an
angle?
correct! your mental
acuity continues to
impress me.
sorry, this is
incorrect.

Explanation:

Oliver's definition correctly captures the essence of an angle as the measure (amount of turn/space) between two rays. Duru's definition only mentions the rays and vertex but misses the key aspect of the measure (the teacher's comment on Duru's definition asks about the measure, indicating it's incomplete). Carlos' definition is wrong because the intersection of two lines (which are infinite in both directions) is just a point (the vertex), not an angle. An angle is about the space/turn between two rays (not just any two lines intersecting).

Answer:

Oliver's definition is correct.