why dont the central angle change regardless the size of the circle
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The inscribed angle forms the apex of the angle. It is a point. To circumscribe the point is 360 degrees.
So the inscribed angle and the reflex (outscribed) angle sum to a total of 360 degrees.
Yes all inscribed angles in a circle have their vertex on the circumference of the circle. Central angles have their vertex at the center of the circle.
yes
yes
No. For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees. A parallelogram can be inscribed in a circle if it is a rectangle.
yes ...all the angles of the triangle must touch a spot on the circle..