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.
why dont the central angle change regardless the size of the circle
yes
yes
Uh ya
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.
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.
why dont the central angle change regardless the size of the circle
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
Supplementary
Yes. The corners must be right angles for it to be inscribed on the circle.
yes
yes
congruent
Supplementary (they add to 180 degrees).
Uh ya