There are many angles inside a circle. You have inscribed angles, right angles, and central angles. These angles are formed from using chords, secants, and tangents.
Infinitely many.
6
To count how many different central angles a circle has, count how many different numbers there are between zero and 360. Include all of the possible fractions. You should discover that the number is very big.
Without overlapping, 4.
False. There are infinitely many angles at the centre of the circle.
Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.
There is only one possible circle that can be inscribed in any triangle because all of the sides of the triangle must touch the circle at some point. Also, there is only one "incenter" of each circle. The incenter is the center of an inscribed circle.
Infinite angles. If you are referring to degrees then the answer is 360, but if the question is angles I can get as many angles as I want inside a circle.
A circle does not have any angles.
None: a circle has no angles, and certainly no acute ones.
None. A circle has no angles: it comprises a smooth curve.